What is the slope of the line in the graph?

What Is The Slope Of The Line In The Graph?

Answers

Answer 1

Answer:

Step-by-step explanation:

There are three steps in calculating the slope of a straight line when you are not given its equation.

Step One: Identify two points on the line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate slope.

Take a moment to work through an example where we are given two points.

Example

Let's say that points (15, 8) and (10, 7) are on a straight line. What is the slope of this line?

Step One: Identify two points on the line.

In this example we are given two points, (15, 8) and (10, 7), on a straight line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

It doesn't matter which we choose, so let's take (15, 8) to be (x2, y2). Let's take the point (10, 7) to be the point (x1, y1).

Step Three: Use the equation to calculate slope.

Once we've completed step 2, we are ready to calculate the slope using the equation for a slope:

We said that it really doesn't matter which point we choose as (x1, y1) and the which to be (x2, y2). Let's show that this is true. Take the same two points (15, 8) and (10, 7), but this time we will calculate the slope using (15, 8) as (x1, y1) and (10, 7) as the point (x2, y2). Then substitute these into the equation for slope:

We get the same answer as before!

Often you will not be given the two points, but will need to identify two points from a graph. In this case the process is the same, the first step being to identify the points from the graph. Below is an example that begins with a graph.


Related Questions

find an equation of the line that passes through the point (3,-1) and is perpendiculor to line with slope -1/2

Answers

Answer:

perp. 2

y + 1 = 2(x - 3)

y + 1 = 2x - 6

y = 2x - 7

PLEASEEEE ASAPP
what is g(2) = 3(2)^2 - 5(2) + 5

Answers

Answer:

Step-by-step explanation:

[tex]g(x) = 3x^{2} - 5x + 5[/tex]

[tex]g(2) = 3(2^{2}) - 5(2) + 5[/tex]

[tex]g(2) = 3(4) - 10 + 5[/tex]

[tex]g(2) = 12 - 10 + 5[/tex]

[tex]g(2) = 7[/tex]

G(2)= 3(2)^2-5(2)+5
G(2)=3(4)-10+5
G(2)=12-10+5
G(2)= 7

∡rst is a right angle. if rs has a slope of 3, what must be the slope of st?

Answers

Answer:

The slope of st is -1/3

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

[tex]m1*m2=-1[/tex]

we have

[tex]m1=3[/tex]

substitute and solve for m2

[tex](3)*m2=-1[/tex]

[tex]m2=-\frac{1}{3}[/tex]

therefore

The slope of st is -1/3

3. Students in a sixth-grade class were asked which team was their favorite. The results are shown in the table. Find the ratio of students who preferred the Buccaneers to the total number of responses.

Answers

Answer:

37:103

Step-by-step explanation:

First, you have to identify how many people preferred the Bucaneers. That would be 74.

Secondly, you have to figure out the total number of responses. To do this, you add up ALL of the responses. They key word TOTAL is telling you this.

Thirdly, you write it as a ratio. This can be with the two numbers side by side, a fraction, or in a written response.

Lastly, you simplify your final answer.

Hope this helped!

A printer cartridge with 2 1 ⁄2 milliliters of ink will print off 2 ⁄3 of a box of paper. How many milliliters of ink will it take to print an entire box?

Answers

Answer:

3 3/4 mls ink.

Step-by-step explanation:

2/3 of a box  corresponds to 2 1/2 mls of ink

So one box .............................. 2 1/2 / 2/3 = 5/2 / 2/3

= 5/2 * 3/2

= 15 / 4

=  3 3/4 mls ink.

Final answer:

It would take approximately 3.75 milliliters of ink to print off an entire box of paper. This is based on the given that 2.5 milliliters prints off 2/3 of a box and the conversion to a full box.

Explanation:

The question is asking about the amount of ink it will take to print an entire box of paper. We are given that a printer cartridge with 2.5 milliliters of ink will print off 2⁄3 of a box of paper. So, if 2.5 ml prints 2⁄3 of a box, we want to find out how much ink prints 1 full box. This is a simple ratio question.

Set up the ratios like this: 2.5 ml (ink) / (2⁄3 box) = X ml (ink) / (1 box) Simplifying this, you find that X = 2.5 ml / 2⁄3, which, when calculated, equals approximately 3.75 ml. This means it will take approximately 3.75 milliliters of ink to print off an entire box of paper.

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What is the equation of the least squares regression line for the data set?

Answers

Answer:

y = 1.862x − 0.138

Step-by-step explanation:

Final answer:

The equation of the least squares regression line is ŷ = -173.51 + 4.83x.

Explanation:

The equation of the least squares regression line for a data set is represented as ŷ = a + bx, where a is the y-intercept and b is the slope of the line. To calculate the values of a and b, you minimize the sum of squared errors (SSE). Using calculus, you can determine the values that make SSE a minimum. In this case, the equation of the least squares regression line is ŷ = -173.51 + 4.83x.

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43-3d = d+9
Solve the equation

Answers

Answer:

8.5 (plz give me the brainliest answer for this!!!!!!!!)

Step-by-step explanation:

43-3d=d+9

34=4d

8.5=d

Have a nice day!!!!!!!! :-)

KA

Answer: 8.5=d

Step-by-step explanation:

First u need to subtract nine on both sides of the equal sign canceling the nine on the right side, then it will leave you with 34-3d=d so then u add 3d to both sides again canceling the 3d on the left side, which leaves u with 34=4d then just divide the 4 on both sides leaving u with 8.5=d

❗❗❗❗❗❗❗HELP❗❗❗❗❗❗❗


Select the table of values where the quadratic function changes direction at a different value of x than the others.


Imagine that this is a graph.


A.

x -3 -2 -1 0 1 2 3

y 2 3 2 -1 -6 -13 -22


B.

x -3 -2 -1 0 1 2 3

y 2 3 2 -1 -6 -13 -22


C.

x -3 -2 -1 0 1 2 3

y 4 3 4 7 12 19 28


D.

x -3 -2 -1 0 1 2 3

y 1 -1 1 7 17 31 49

Answers

D,the quadratic function turning point is (-2,-1) while the other graphs change direction at (-2,3)

Step-by-step explanation:

The point where the graph of a quadratic function changes direction is called a turning point.This is the point where the curve changes to face up or down according to the function.The functions in A,B and C have a common turning point (-2,3) that also appears in the table.The function in D has a turning point at (-2,-1) that is different from the other three functions.

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A restaurant has 36 tables. If each can sit five people, how many can be seated at the restaurant?

Answers

around 7 i believe!!

Answer:

180 people

Step-by-step explanation:

If there are 5 people for each table and there are 36 tables, so then you would need to multiply 36 by 5, because you wouldn't want to add 5 people 36 times lol, so then when you multiply them together, you would get 180 people in total in the restaurant. :-)

hope this helped! ♡

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?

Answers

To find the x-intercept just set the stuff in the parentheses equal to 0

X+6=0
X=-6
(-6,0)

X-3=0
X=3
(3,0)

Find the area of the shaded region. All angles are right angles.

Answers

Answer: 147

Step-by-step explanation:

First, 9 x 4 = 36

Again, 9 x 4 = 36

Finally 15 x 5 = 75

So, 36 + 36 + 75 = 147

You are given the expressions 76+ n and 2n + 26 what is the smallest value of n that will make each number rational ?

Answers

Answer:

A proof that square root of 2 is irrational. ... An equation x² = a, and the principal square root ... The number under the radical sign is called the radicand. ... the given square numbers, each product of square numbers is equal to what square ... are relatively prime -- and it will be impossible to divide n· n into m· m and get 2.

Step-by-step explanation:

Rational numbers are numbers that can be represented as a fraction of two integers. For [tex]\sqrt{76 + n}[/tex] and [tex]\sqrt{2n + 26}[/tex] to be rational, the smallest value of n is 5

Given that:

[tex]\sqrt{76 + n}[/tex] and [tex]\sqrt{2n + 26}[/tex] --- correct expressions

For both numbers to be rational, we should be able to represent the numbers as a fraction of two integers.

There are no straight ways to solve this, except trial by error.

When [tex]n = 1[/tex]

[tex]\sqrt{76 + n} = \sqrt{76 + 1} = \sqrt{77} = 8.77496.......[/tex]

The above is not rational

When [tex]n = 2[/tex]

[tex]\sqrt{76 + n} = \sqrt{76 + 2} = \sqrt{78} = 8.83176......[/tex]

The above is not rational

When [tex]n = 3[/tex]

[tex]\sqrt{76 + n} = \sqrt{76 + 3} = \sqrt{79} = 8.88819......[/tex]

The above is not rational

When [tex]n = 4[/tex]

[tex]\sqrt{76 + n} = \sqrt{76 + 4} = \sqrt{80} = 8.944271......[/tex]

The above is not rational

When [tex]n = 5[/tex]

[tex]\sqrt{76 + n} = \sqrt{76 + 5} = \sqrt{81} = 9[/tex]

The above is rational

So, we try [tex]n = 5[/tex] for the second expression

[tex]\sqrt{2n + 26} = \sqrt{2\times 5 + 26} = \sqrt{10 + 26}=\sqrt{36}= 6[/tex]

The above is also rational

Hence, the smallest value of n that makes each of the expression rational is [tex]n = 5[/tex]

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Need help answering this!

Answers

Answer:

Wrong

Step-by-step explanation:

Since 54 / 12 is 4.5

Answer:

Step-by-step explanation:

the answer is b

WENDYS PAY IS $423.00 19% OF THAT IS SUBTRACTED FOR TAXES HOW MUCH IS LEFT AFTER PAYING TAXES

Answers

Answer:

$342.63

Step-by-step explanation:

0.19 * 423 = 80.37

423 - 80.37 = 342.63

Show all work to multiply

Answers

Answer:

-42+10i

Step-by-step explanation:

*start with the square roots

\sqrt{-25} \\ =5i

\sqrt{-100} \\ = 10i

*then insert values

(2+5i)(4-10i)

*Use FOIL to multiply

2x4 + 2x-10i + 5ix4 + 5ix10i

*Simplify

8-10i+20i+50i(squared)

*Add like terms

-42+10i

*( i squared = -1 )

(20 POINTS PLZ HELP!!) plz answer all questions

(question A) What is the absulote value of |-10 + -4|

(question B) what is the absolute value of |5+2|

(question C) what is the absolute value of |--8.7|

(question D) what is the absolute value of -|-9.2|

Answers

Answer:

answer to question a is -14

answer to question b is 10

answer to question c is -56

answer to question d is -18

Step-by-step explanation:

Answer:

The answer to your question is below

Step-by-step explanation:

Absolute value of  a number, is the value without considering its sign. For example, when we measure distance, we do not say -50 meters, we say "50 meters" because for distance, do not exist negative values.

(A) What is the absolute value of |-10 + -4|

                        | - 10 + -4|  = | - 10 - 4| = | - 14 | = 14

(B) what is the absolute value of |5+2|

                        | 5 + 2 | = |7| = 7

(C) what is the absolute value of |--8.7|

                           | - - 8.7 | = | 8.7 | = 8.7

(D) what is the absolute value of -|-9.2|

                         - | - 9.2 | = - 9.2

Kendra wants to know the average height of the 30,000 ninth grade students in Florida. She randomly selects 1,000 ninth graders in Florida, assuring that the group accurately represents all ninth grade students in Florida. Kendra finds their average height to be 65 inches. What assumption can be made regarding the approximate average height of all ninth grade students in Florida?

Answers

A.
No assumptions can be made regarding the average height of ninth grade students in Florida because there is not enough information.
B.
The approximate average height of ninth grade students in Florida is greater than 65 inches.
D.
No assumptions can be made regarding the average height of ninth grade students in Florida because the sample size is too small.

Based on Kendra's random selection of 1,000 ninth graders in Florida and finding their average height to be 65 inches, we can make the assumption that the approximate average height of all ninth-grade students in Florida is close to 65 inches.

We have,

The assumption is based on the principle of random sampling, where a representative sample from a larger population can provide valuable insights into the characteristics of the entire population.

By randomly selecting 1,000 ninth graders, Kendra aimed to ensure that the group accurately represents all ninth-grade students in Florida.

While there might be some variation or margin of error, the average height of the sampled group can provide a reasonable estimate of the average height of all ninth-grade students in Florida.

Therefore,

Based on the random sample, we can assume that the approximate average height of all ninth-grade students in Florida is around 65 inches.

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When rounding to the nearest hundred, what is the least whole number that rounds to 900?

Answers

Isn’t it like 850 bc that’s the farthest from 900 but can still be rounded to it

Answer:

850 rounds up to 900

Step-by-step explanation:

if it's 5 or more it will go up, if it were 840 it'll drop to 800

Alex went to the grocery store and bought 5 avocados. He paid $10 and received $4.50 in change. How much did each avocado cost if they are each the same amount?

Answers

Answer:

$1.10

Step-by-step explanation:

We have been that Alex went to the grocery store and bought 5 avocados. He paid $10 and received $4.50 in change.

First of all, we will find amount paid for 5 avocados by subtracting $4.50 from $10.

[tex]\text{Amount paid for 5 avocados}=\$10-\$4.50[/tex]

[tex]\text{Amount paid for 5 avocados}=\$5.50[/tex]

Now, we will divide $5.50 by 5 to find cost of each avocado.

[tex]\text{Cost of each avocado}=\frac{\$5.50}{5}[/tex]

[tex]\text{Cost of each avocado}=\$1.10[/tex]

Therefore, the cost of each avocado is $1.10.

can someone help me solve this? ​

Answers

1.8

to find the circumference of a circle you have to multiple the diameter by pi (3.14). so if you have the circumference already just switch around the equation (since you don’t know the diameter) to 10.99 divided by 3.14 to find the diameter and you get 3.5. but thats the diameter and you have to find the radius so divide 3.5 by two and you get 1.75 and 1.75 rounded to the nearest tenths is 1.8

Answer is provided in the image attached.

Jeremiah and Cynthia each run a lemonade stand. They decide that they will share the
money they make evenly Jeremiah makes $237 at his stand and Cynthia makes $218.
After they combine and split up their money evenly, which statement must be true
a. They each get $229 with no money left over
b. They each get $228 with $1 left over
C. They each get $910 with no money left over
d. It is not possible to share their money evenly​

Answers

Answer:

I believe it's D.

Step-by-step explanation:

if you add 237 + 228 you get 455. 455 divide by 2 is 227.5 which doesn't make it even.

Please help me I don't know

Answers

The answer is A. F(x) approaches -infinity as x approaches positive infinity

what is the slope of the line that passes through the points (-8,-6) and (-18,6)? write your answer in simplest form.​

Answers

Slope = -6/5

Work is provided in the image attached.

Final answer:

The slope of the line passing through the given points is -6/5.

Explanation:

The slope of a line can be found using the formula: m = (y2 - y1) / (x2 - x1).

In this case, the coordinates of the two points are (-8, -6) and (-18, 6). Applying the formula, we have: m = (6 - (-6)) / (-18 - (-8)) = 12 / (-10) = -6/5.

Therefore, the slope of the line that passes through the points (-8, -6) and (-18, 6) is -6/5.

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Find the first and second derivative of the function defined by the parametric equation.

x = 3e and y= 3^3t - 1​

Answers

Answer:

Step-by-step explanation:

Given two parametric equations [tex]x(t)[/tex] and [tex]y(t)[/tex], the first derivative can be found using the following equation:

[tex]\frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}[/tex]

In this problem, [tex]x(t) = 3e[/tex] and [tex]y(t) = 3^{3t} - 1[/tex]. Finding the derivative of each of these functions with respect to [tex]t[/tex] gives us the following:

[tex]\frac{dx}{dt} = 0[/tex]

[tex]\frac{dy}{dt} = 3^{3t + 1}\log{3}[/tex]

Because [tex]\frac{dx}{dt} = 0[/tex], that means the function is a vertical line and has an infinite first derivative.

Final answer:

The first derivative of the x-component is zero, and the first derivative of the y-component is 27. The second derivatives of both components are zero.

Explanation:

To find the first and second derivatives of the function defined by the parametric equation, we need to differentiate each component with respect to the parameter (in this case, t). Let's start with x = 3e, which is a constant, so its derivative is zero. Next, let's differentiate y = 3^3t - 1. The derivative of 3^3t with respect to t is (3^3)(1) = 27, and since the derivative of -1 with respect to t is 0, the y-component's derivative is 27.

Now, to find the second derivative, we differentiate the derivatives we found. The second derivative of x is still zero since the first derivative is zero. The second derivative of y (27) is also zero since it is a constant. Therefore, the first and second derivatives of the parametric equation are dx/dt = 0 and dy/dt = 27, respectively.

what is the value of the expression -2(3x-2)+x+9 when the x=-3? ​

Answers

-2(3x-2)+x+9
-2(-9-2)+(-3)+9
22-3+9
19+9
28
Brainliest please? Thanks! ❤️

Value of expression at x = -3 is 28.

What is linear equations?

All the mathematical equations which have any variable and constant in them are linear equations where variables are not fixed.

Given expression -2(3x-2)+x+9 at x=-3

simplify equation

-6x+4+x+9  = -5x+13

substitute x= -3

-5(-3)+13 = 15+13= 28

Hence the value at x= -3 is 28

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Can u help me to simplify this expression 36+6÷3+2

Answers

Answer: 40

Step-by-step explanation: You need to divide first because of the order of operations. This gives you 36+2+2, which is 40

Answer:

The correct answer is 40

Step-by-step explanation:

When solving use PEMDAS

"Please excuse my dear aunt sally"

there are no parentheses or exponents so look for and multiplication or  division and you see that there is division so solve:

6÷3 = 2

Then look for addition or subtraction and solve:

36+2+2=40

the answer is 40.

Have a blessed day.

factorise 3×15×1/15​

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

[tex]3.15.\frac{1}{15}\\\\3.\frac{15}{15}\\\\3.1\\\\3[/tex]

What is the value of x?
12 units
15 units
20 units
24 units

Answers

Answer:

Answer: The value of x is 15 units. Step-by-step explanation: In the given triangle RSQ and ΔRST it is given that. ∠RTS ≅ ∠SRQ ≅ 90°.

Step-by-step explanation:

Answer:

20 units

Step-by-step explanation:

I got it wrong with 15 for the cumulative exam on EDGE 2020/2021

Consider the quadratic function:

f(x) = x2 – 8x – 9



Vertex: (StartFraction negative b Over 2 a EndFraction, f (StartFraction negative b Over 2 a))

What is the vertex of the function?

(
,
)

Answers

Answer:

vertex = (4, - 25 )

Step-by-step explanation:

Given a quadratic function in standard form : f(x) = ax² + bx + c : a ≠ 0

The the x- coordinate of the vertex is

[tex]x_{V}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = x² - 8x - 9 ← is in standard form

with a = 1, b = - 8, thus

[tex]x_{V}[/tex] = - [tex]\frac{-8}{2}[/tex] = 4

Substitute x = 4 into f(x) for corresponding value of y

f(4) = 4² - 8(4) - 9 = 16 - 32 - 9 = - 25

vertex = (4, - 25 )

Answer:

vertex is (4,-25)

Step-by-step explanation:

[tex]f(x) = x^2 - 8x - 9[/tex]

To find out the vertex we use formula

[tex]x=\frac{-b}{2a}[/tex]

From the given f(x), the value of a=1, b=-8 and c=-9

Plug in the values in the formula

[tex]x=\frac{-(-8)}{2(1)}[/tex]

x=4

Now find the value of y

plug in 4 for x in f(x)

[tex]f(4) = 4^2 - 8(4)- 9=-25[/tex]

The value of y is -25

The vertex is (4,-25)

Find y if the line through (3,5) and (6,y) has a slope of 2

Answers

Answer:

The answer is y = 11.

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