Points [tex]X(-2,1)[/tex] and [tex](-4,-3)[/tex] are defined therefore we have all data we need to construct equation.
Linear function has a form of,
[tex]y=ax+b[/tex]
First calculate the slope a.
[tex]a=\dfrac{dy}{dx}=\dfrac{-3-1}{-4-1}=\dfrac{-4}{-5}=\dfrac{4}{5}[/tex]
Now plug in the coordinates of either one of the points into the linear function. I'll pick point X.
[tex]y=ax+b\Longrightarrow1=\dfrac{4}{5}\cdot(-2)+b[/tex]
Now just solve for b.
[tex]1=-\dfrac{8}{5}+b\Longrightarrow b=\dfrac{13}{5}[/tex]
The equation is therefore,
[tex]\boxed{y=\dfrac{4}{5}x+\dfrac{13}{5}}[/tex]
Hope this helps.
r3t40
Study the following data set.
{8,15,9,18,9,17,22,10,11,9,13}
What is the interquartile range of the data set?
Enter your answer as a number, like this: 42
Answer:
8
Step-by-step explanation:
The question is on interquartile range which is the median of the upper half of the data minus the median of the lower half of data
First arrange the data in an increasing order;
8,15,9,18,9,17,22,10,11,9,13
8,9,9,9,10,11,13,15,17,18,22
Find the median, which is the center value in the data set
8,9,9,9,10,11,13,15,17,18,22⇒the median is 11
Place brackets around the numbers above and below the median
(8,9,9,9,10)11 (13,15,17,18,22)
Find the median in the lower half of the data,Q1
(8,9,9,9,10) ⇒median is 9=Q1
Find the median in the upper half of the data,Q3
(13,15,17,18,22)⇒median is 17=Q3
Subtract Q1 from Q3 to get the interquartile range
Q3=17, and Q1=9
Q3-Q1=17-9=8
The two angles below form a linear pair, and the expressions are measured in degrees. What is the measure of the smaller angle?
62°
74°
118°
148°
Answer:
The measure of the smaller angle is 62°
Step-by-step explanation:
we know that
If two angles form a linear pair, then their sum is equal to 180 degrees (supplementary angles)
so
(2x-30)°+(x-12)°=180°
Solve for x
3x=180°+42°
3x=222°
x=74°
The measure of the angles are
(2x-30)°=2(74)-30=118°
(x-12)°=74-12=62° -----> smaller angle
Half of a number is three times the sum of a number ad five.
10
If you treat the number as x, then [tex]\frac{1}{2}x=x+5\to-5=\frac{1}{2}x\to-10=x[/tex].
For a certain weekend, the weatherman predicts that it will rain with a 40% probability on Saturday and a 50% probability on Sunday. Assuming these probabilities are independent, what is the probability that it rains over the weekend (that is, on at least one of the days)? Express your answer as a percentage.
Answer:
70%
Step-by-step explanation:
The probability it rains on at least one of the days is:
P = P(Sat & not Sun) + P(Sun & not Sat) + P(Sat & Sun)
P = (0.40)(1−0.50) + (0.50)(1−0.40) + (0.40)(0.50)
P = 0.20 + 0.30 + 0.20
P = 0.70
Another way to look at it is 1 − the probability that it doesn't rain on either day.
P = 1 − P(not Sat & not Sun)
P = 1 − (1−0.40)(1−0.50)
P = 1 − 0.30
P = 0.70
There is a 70% probability that it will rain on at least one day.
The probability that it will rain on at least one day over the weekend is 70%, based on independent probabilities given for Saturday and Sunday.
Explanation:The subject of your question is probability, a branch of mathematics that studies randomness and the likelihood of events occurring. To calculate the probability that it will rain over the weekend, i.e., on at least one of the days (Saturday or Sunday), we first need to find the probability that it won't rain on either day.
The probability it doesn't rain on Saturday is 60% (100% - 40%), and the probability it doesn't rain on Sunday is 50% (100% - 50%). Since these events are independent, we multiply these probabilities to find the joint probability. Therefore, the probability it doesn't rain on either day is 30% (0.6 × 0.5 = 0.3).
Now, this is the case which we don’t want (no rain), so the case we want (that it rains at least one day) is the complementary event of this. Thus, we subtract this from the total probability, which is 1, yielding a 70% (1 - 0.3) probability that it will rain on at least one of the days over the weekend.
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HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
X is left to right. Since the translation is X + 1 , you are adding 1 to the X direction, which moves the shape 1 place to the right.
Y is up and down, the translation is y - 2, which means the shape moves 2 places down.
Looking at one point on the original image, lets use Point C. It is located at X = 2 and Y = 1. Now add 1 to the X and subtract 2 from the y:
The new location for C needs to be X = 2+1 = 3 and Y = 1-2 = -1
The image that has C at (3,-1) is C.
Which of the following statements justifies why the triangle shown below is
not a right triangle?
Answer:
A) 6^2 + 11^2 is not equal to 15^2
Step-by-step explanation:
To find out if a right triangle is a right triangle you have to use the Pythagorean Theorem, like it is used in A.
6^2 + 11^2 = 15^2
36 + 121 = 225
157 does not equal 225
So this is not a right triangle
Answer:
Option A
Step-by-step explanation:
Given in the picture is a triangle ABC with three sides given as 6,11 and 15
By the picture itself we can say that the largest angle is obtuse and hence the triangle is not right angled.
Using the converse of Pythagorean theorem that in a right triangle sides square add upto square of hypotenuse let us check whether this applies to this triangle.
Small sides are 6 and 11
Squaring and adding gives
[tex]6^2+11^2 = 187[/tex]
Large side = 11 and square is
[tex]15^2 =225 > 121[/tex]
Hence this is not a right triangle but obtuse
So option A is right
How many pairs of parallel faces are shown?
Final answer:
There are three pairs of parallel faces in a cube, as each face has one parallel counterpart. An icosahedron has no parallel faces. When standing between two parallel mirrors, an infinite series of images is theoretically created, but only a finite number can be seen due to practical limits.
Explanation:
To determine the number of pairs of parallel faces in a geometric shape, we have to consider the characteristics of the shape provided. In the case of a cube, which seems to be the most closely related shape mentioned in the details provided, there are three pairs of parallel faces. Each face of a cube is parallel to one other face that is opposite to it. For instance, the top face of the cube is parallel to the bottom face, one of the side faces is parallel to the face directly opposite to it, and the same applies to the front and back faces.
If the student's question instead pertains to an icosahedron, which is mentioned among the details, an icosahedron does not have any parallel faces as it is made up of equilateral triangles, and each face is inclined to the others.
For the discussion question regarding images formed between two parallel mirrors, an infinite number of images would be formed. This is because the mirrors reflect not only the object but also the images in the other mirror, thus creating a series of reflections that seem to go on indefinitely. However, due to practical limitations such as the quality of the mirror and ambient light, only a finite number of these images can actually be observed.
What is the product?
(x - 3)(2x2 – 5x + 1)
Answer:
[tex]\large\boxed{(x-3)(2x^2-5x+1)=2x^3-11x^2+16x-3}[/tex]
Step-by-step explanation:
Use the distributive property: a(b + c) = ab + ac:
[tex](x-3)(2x^2-5x+1)=(x-3)(2x^2)+(x-3)(-5x)+(x-3)(1)\\\\=(x)(2x^2)+(-3)(2x^2)+(x)(-5x)+(-3)(-5x)+x-3\\\\=2x^3-6x^2-5x^2+15x+x-3\qquad\text{combine like terms}\\\\=2x^3+(-6x^2-5x^2)+(15x+x)-3\\\\=2x^3-11x^2+16x-3[/tex]
The table below shows values for x and y. If y varies directly as x, what is the constant of variation?
x y
0 0
1 -9
2 -18
3 -27
-9
0
3
9
Answer:
k = - 9
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use any ordered pair from the given table of values
Using x = 1, y = - 9, then
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{-9}{1}[/tex] = - 9
Answer:
-9.
Step-by-step explanation:
y varies directly as x so y = kx where k is the constant of variation.
Inserting the values of x and y.
0 = k*0
-9 = k*1 so k = -9
-18 = 2*k so k = -9
-27 = 3 *k so k = -9.
Find the value of X in the picture please
Answer:
The measure of the arc x is 130°
Step-by-step explanation:
we know that
The semi-inscribed angle is half that of the arc it comprises
so
65°=(1/2)[arc x]
solve for x
arc x=(2)(65°)=130°
An object is thrown upward at a speed of 58 feet per second by a machine from a height of 7 feet off the ground. The height h of the object after t seconds can be found using the equation h=−16t^2+58t+7
a.When will the height be 17 feet? ______
b. When will the object reach the ground? ______
Answer:
First part:
Set h(t) = 17and solve for t.
-16t²+ 58t + 7= 17
-16t² + 58t - 10 = 0
Solve this quadratic equation for t. You should get 2 positive solutions. The lower value is the time to reach 17 on the way up, and the higher value is the time to reach 17 again, on the way down.
Second part:
Set h(t) = 0 and solve the resulting quadratic equation for t. You should get a negative solution (which you can discard), and a positive solution. The latter is your answer.
The time required to reach 17 feet and the ground by the ball is required.
The time taken to reach 17 feet is 0.181 s.
To reach the ground the time taken is 3.74 s.
The equation is
[tex]h=-16t^2+58t+7[/tex]
[tex]h=17[/tex]
[tex]17=-16t^2+58t+7\\\Rightarrow -16t^2+58t-10=0\\\Rightarrow t=\frac{-58\pm \sqrt{58^2-4\left(-16\right)\left(-10\right)}}{2\left(-16\right)}\\\Rightarrow t=0.181,3.44[/tex]
The time taken reach a height of 17 feet while going up is 0.181 s.
On the ground [tex]h=0[/tex]
[tex]0=-16t^2+58t+7\\\Rightarrow t=\frac{-58\pm \sqrt{58^2-4\left(-16\right)\times 7}}{2\left(-16\right)}\\\Rightarrow t=-0.12,3.74[/tex]
The time taken to reach the ground is 3.74 s.
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Point M is the midpoint of AB if the coordinates of A are (-3,6) and the coordinates of M are (-5,2) what are the coordinates of B ?
Please answer #5
Answer:
The coordinates of point B are (-7 , -2)
Step-by-step explanation:
* Lets explain how to solve the problem
- The mid-point (x , y) of the line whose endpoints are (x1 , y1) and
(x2 , y2) is [tex]x=\frac{x_{1}+x_{2}}{2},y=\frac{y_{1}+y_{2}}{2}[/tex]
∵ M is the midpoint of AB
∵ The coordinates of point A are (-3 , 6)
∵ The coordinates of point M are (-5 , 2)
- Let the coordinates of point A are (x1 , y1) , The coordinates of
point B are (x2 , y2) and The coordinates of point M are (x , y)
∴ x = -5 , x1 = -3 and y = 2 , y1 = 6
- Lets use the rule of the mid point to find x2 , y2
∵ [tex]-5=\frac{-3+x_{2}}{2}[/tex] ⇒ multiply both sides by 2
∴ [tex]-10=-3+x_{2}[/tex] ⇒ add 3 to both sides
∴ -7 = x2
∵ [tex]2=\frac{6+y_{2}}{2}[/tex] ⇒ multiply both sides by 2
∴ [tex]4=6+y_{2}[/tex] ⇒ subtract 6 from both sides
∴ -2 = y2
∵ The coordinates of point B are (x2 , y2)
∴ The coordinates of point B are (-7 , -2)
What is the equation in point-slope form of the line passing through (4, 0) and (2, 6)? (5 points) y = 4x − 2 y = 2x − 4 y = −3(x − 4) y = 3(x + 4)
For this case we have that by definition, the point-slope equation of a line is given by:
[tex]y-y_ {0} = m (x-x_ {0})[/tex]
We have the following points:
[tex](x_ {1}, y_ {1}) :( 2,6)\\(x_ {2}, y_ {2}) :( 4,0)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0-6} {4-2} = \frac {-6} {2} = -3[/tex]
We chose a point:
[tex](x_ {0}, y_ {0}) :( 4,0)[/tex]
Substituting in the equation we have:
[tex]y-0 = -3 (x-4)\\y = -3 (x-4)[/tex]
Finally, the equation is: [tex]y = -3 (x-4)[/tex]
Answer:
OPTION C
Answer:
Third option: [tex]y=-3(x-4)[/tex]
Step-by-step explanation:
The equation of the line in Point-Slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
Where "m" is the slope and [tex](x_1,y_1)[/tex] is a point on the line.
Given the points (4, 0) and (2, 6), we can find the slope with this formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substituting values, we get:
[tex]m=\frac{0-6}{4-2}=-3[/tex]
Finally, substituting the slope and the point (4,0) into [tex]y-y_1=m(x-x_1)[/tex], we get:
[tex]y-0=-3(x-4)[/tex]
[tex]y=-3(x-4)[/tex]
the graph of g(x), shown below in pink, has the same shape as the graph of f(x)=x^2, shown in gray. which of the following is the equation for g(x)
Answer:
B
Step-by-step explanation:
The graph of g(x) has its vertex at (1, - 3)
The equation of a parabola in vertex firm is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (1, - 3), thus
g(x) = (x - 1)² - 3 → B
Answer:
B.f(x)=(x-1)²-3
Step-by-step explanation:
apex
Fencing costs $3.25 per foot. A certain
yard has a width of 60 feet and length of
80 feet How much is the cost to fence?
Answer:
910$
Step-by-step explanation:
It's easiest if we just add the width and length together to start which would be 2 sides of the fence so we multiply by 2 to complete the whole perimeter.
80+60 = 140 x 2 = 280
Now you need to multiply 280 by 3.25 because that is what it will cost in the end since the 280 is all of the feet together and the 3.25 is each foot's price.
3.25 x 280 = 910
910$
solve 5n-7p+3n=25p for n
Answer:
n=4p
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
You hike uphill at a rate of 200 feet per minute. Your friend hikes downhill on a same trail at a rate of 250 feet per minute. How long will it be until you meet?
Answer:
After x/450 minutes
Step-by-step explanation:
The speed uphill is 200 ft/min
The speed down hill is 250 ft/min
Lets take the hiking distance top to down hill is x ft
Remember speed=distance/time
Relative speed =200+250=450ft/min
Time to meet=distance/relative speed
Time to meet=x/450 min
Final answer:
To find out how long it will take until you meet, we need to determine the distances each hiker covers and then divide it by their respective rates.
Explanation:
To find out how long it will take until you meet, we need to determine the distances each hiker covers and then divide it by their respective rates.
The first hiker covers a certain distance while hiking uphill, while the second hiker covers a certain distance while hiking downhill. When they meet, their combined distances will add up to the total distance of the trail.
Let's say it takes x minutes for you to meet. The first hiker covers a distance of 200x feet in x minutes, while the second hiker covers a distance of 250x feet in the same x minutes. When they meet, their combined distances will equal the length of the trail, so we can set up the equation: 200x + 250x = total distance. Solving for x will give us the time it takes for you to meet.
Solve for x. x2 + 7x + 10 = 0 A. -2, -5 B. -2, 5 C. 2, -5 D. 2, 5
Answer:
A. -2, -5
Step-by-step explanation:
x^2 + 7x + 10 = 0
Factor the equation
What 2 numbers multiply to 10 and add to 7
2*5 =10
2+5 = 7
(x+2) (x+5)=0
Using the zero product property
x+2 =0 x+5 =0
x=-2 x = -5
Louisa states that the solution to the equation 1/4x - 3 = 3/8x + 4 is x = 56. She verifies her solution using the steps below.
Equation: 1/4x - 3 = 3/8x + 4
Step 1: 1/4(56) - 3 = 3/8(56) + 4
Step 2: 14 - 3 = 21 + 4
Step 3: 11 = 25
Which statement most accurately describes Louisa’s error?
A. Louisa made an error when determining the original solution of x = 56.
B. Louisa made an error when substituting the solution in for x.
C. Louisa made an error when multiplying 56 by 1/4 and by 3/8
D. Louisa made an error when adding or subtracting.
Answer:
A. Louisa made an error when determining the original solution of x = 56.
Step-by-step explanation:
1/4x - 3 = 3/8x + 4
To verify x=56 is a solution, substitute x=56 into the equation
1/4(56) - 3 = 3/8(56) + 4
Multiply
14 -3 = 21 +4
Combine like terms
11 = 25
The steps are correct.
x=56 must not be a solution to the equation
Answer:
option A
Step-by-step explanation:
Given that Louisa states that the solution to the equation 1/4x - 3 = 3/8x + 4 is x = 56.
She did the following steps
Step 1 is right because she substituted x=14 to check whether right side = left side
Step 2: Multiplication is done correctly
Step 3: Is incorrect because 11 can never be equal to 25 in Mathematics.
Hence the mistake she did is not in substitution, multiplication or addition/subtraction. But in determining the original solution
Hence A) Louisa made an error when determining the original solution of x = 56.
Which of the following is equivalent to 45x-5z.
A. 5(9x-z). B. 5x(45x-z). C. 10(9x-z). D. 5(9x^2-z) please answer thanks
Answer:
A. 5(9x-z)
Step-by-step explanation:
45x-5z
We can factor out a 5 from each term
5(9x -z)
Answer:
A.
Step-by-step explanation:
Given the expression, 45x - 5z, you have to think what can be factored out of BOTH terms.
we know 5 is a factor of both terms, so it can be taken out
=
5(9x - z), nothing else can be factored
Help me please I’m losted
Answer:
[tex]\frac{50}{3}[/tex]
Step-by-step explanation:
Similar shapes have corresponding sides that are proportional.
So 20 corresponds to x (big to small).
So 12 corresponds to 10 (big to small).
Your information is already lined up for you to setup your proportion:
[tex]\frac{20}{12}=\frac{x}{10}[/tex]
Cross multiply:
[tex]20(10)=12(x)[/tex]
Simplify both sides:
[tex]200=12x[/tex]
Divide both sides by 12:
[tex]\frac{200}{12}=x[/tex]
Simplify by dividing top and bottom by 4:
[tex]\frac{50}{3}=x[/tex]
What is the value of x in x + 2 = 5?
Answer:
x = 3Step-by-step explanation:
x + 2 = 5 subtract 2 from both sides
x + 2 - 2 = 5 - 2
x = 3
Check:
3 + 2 = 5 CORRECT :)
You buy some living room furniture. The coffee table costs $189.99, the loveseat costs $249.95, the sofa costs $493.68, and 2 chairs cost $98.75 each. Sales tax is 7.25%. How much is your total purchase? $1,032.37 $1,213.13 $1,107.22 $1,131.12
Add the totals of each item together:
189.99 + 249.95 + 493.68 + 98.75 + 98.75 = 1,131.12
Now multiply that by the tax rate as a decimal:
1131.12 x 0.0725 = 82.01
Now add that to the total of the items:
1,131.12 + 82.01 = $1,213.13 total
For this case we have that the total of the purchase is given by:
Coffee table: $ 189.99
Loveseat: $ 249.95
Sofa: $ 493.68
2 chairs: 2 * $ 98.75 = $ 197.5
Adding up we have: $ 1131.12
Now, we must find the tax amount:
$ 1131.12 ----------> 100%
x ------------------------> 7.25%
Where "x" represents the value of the tax:
[tex]x = \frac {7.25 * 1131.12} {100}\\x = 82.0062[/tex]
Finally, the amount to be paid is:
$ 1131.12 + $ 82.0062 = $ 1213.13
Answer:
Option B
Given h(x) = |x+3| -5
•Identify the parent function f
•Describe the sequence of transformation from f to h
Answer:
The parent function f(x) is equal to [tex]f\left(x\right)=\left|x\right|[/tex]
The translations is 3 units to the left and 5 units down
Step-by-step explanation:
we have
[tex]h\left(x\right)=\left|x+3\right|-5[/tex]
The vertex of the function h(x) is the point (-3,-5)
we know that the parent function f(x) is equal to
[tex]f\left(x\right)=\left|x\right|[/tex]
The vertex of the function f(x) is the point (0,0)
so
The rule of the transformation of f(x) to h(x) is equal to
(x,y) -----> (x-3,y-5)
That means ----> The translations is 3 units to the left and 5 units down
Which graph shows y=3⌈x⌉+1 ?
The graph located in the upper right corner of the image attached shows the graph of y = 3[x]+1.
In order to solve this problem we have to evaluate the function y = 3[x] + 1 with a group of values.
With x = { -3, -2, -1, 0, 1, 2, 3}:
x = -3
y = 3[-3] + 1 = -9 + 1
y = -8
x = -2
y = 3[-2] + 1 = -6 + 1
y = -5
x = -1
y = 3[-1] + 1 = -3 + 1
y = -2
x = 0
y = 3[0] + 1 = 0 + 1
y = 1
x = 1
y = 3[1] + 1 = 3 + 1
y = 4
x = 2
y = 3[2] + 1 = 6 + 1
y = 7
x = 3
y = 3[3] + 1 = 9 + 1
y = 10
x y
-3 -8
-2 -5
-1 -2
0 1
1 4
2 7
3 10
The graph that shows the function y = 3[x] + 1 is the one located in the upper right corner of the image attached.
Answer:
The answer you picked was correct. I just took the test and that's it.
Step-by-step explanation:
One carton of eggs contains 12 eggs.
Write an equation that can be used to find the number of eggs e in any number of cartons c.
e = 120
c= 12e
e=c+12
e=C +12
Answer:
it may be e=c+12
Step-by-step explanation:
common sense
For this case we have:
e: Variable representing the number of eggs
c: Variable representing the number of cartons of eggs.
So, if in each carton there are 12 eggs we can write the following equation:
[tex]e = 12c[/tex]
Answer:
The equation is: [tex]e = 12c[/tex]
The radius of a circular park is 114 yd. To the nearest yard, what is the
circumference of the park?
Answer:
716 yards
Step-by-step explanation:
Circumference = π × Diameter
2 × Radius = Diameter
2 × 114 = 228
Circumference = π × Diameter
Circumference = π × 228 = 228π = 716.283125018
Answer:
716 yd
Step-by-step explanation:
The circumference of a circle is 2*pi*radius.
The radius is 114 yd so the circumference is 2*pi*114 yd.
Put into the calculator and you obtain 716.283 yd.
The answer to the nearest yard is 716.
In an election 32 thousand people voted for Mayor Jackson. A total of 56 thousand people voted in the election. What is the ratio of the number of votes that were not for mayor Jackson to the total number of votes in simplest form?
Answer:
Ratio of the number of votes that were not for mayor Jackson to the total number of votes is 3:7
Step-by-step explanation:
Votes of Mayor Jackson = 32,000
Total Votes = 56,000
Votes not for Mayor Jackson = 56000 - 32000
Votes not for Mayor Jackson = 24000
ratio of the number of votes that were not for mayor Jackson to the total number of votes = Votes not for Mayor Jackson:Total Votes
= 24,000:56,000
=24:56 (divide numerator and denominator by 8)
=3:7
So, ratio of the number of votes that were not for mayor Jackson to the total number of votes is 3:7
Answer:
3 : 7
Step-by-step explanation:
It is given that,
In an election 32,000 people voted for Mayor Jackson
A total of 56,000 people voted in the election.
To find the ratio
Total number of people voted = 56000
Number of people voted for Mayor Jackson = 32000
Number of votes that were not for mayor Jackson = 56000 - 32000 = 24000
The ratio of the number of votes that were not for mayor Jackson to the total number of votes = 24000 : 56000
= 3 : 7
Help pls I don't really understand
Y = 6
13 + [tex]\frac{6}{y}[/tex] means that we are adding 13 and 1 together because 6 divided by 6 is 1.
13 + 1 = 14
Find the slope of the line that contains the points(6,-3) and (6, 5) or is it undefined
Answer:
Yes, it's undefined.
The slope is undefined.
Step-by-step explanation:
Slope formula:
[tex]\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\displaystyle \frac{5-(-3)}{6-6}=\frac{8}{0}=0[/tex]
Therefore, the slope is undefined.
Hope this helps!
Answer:
undefined
Step-by-step explanation:
To find the slope of a line, we use the equation
m = (y2-y1)/(x2-x1)
= (5--3)/(6-6)
= (5+3)/(6-6)
=8/0
Anything divided by 0 is undefined, so the slope is undefined