The points in the table lie on a line. What is the slope of the line?

The Points In The Table Lie On A Line. What Is The Slope Of The Line?

Answers

Answer 1

To find the slope(m), use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]     And plug in two points on the line. I will use

(-2, 1) = (x₁, y₁)

(4, -6) = (x₂, y₂)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{4-(-2)}{-6-1}[/tex] (two negative signs cancel each other out and become positive)

[tex]m=\frac{4+2}{-6-1}[/tex]

[tex]m=\frac{6}{-7}[/tex]

Answer 2

To calculate the slope of the line passing through the points (-8, -2) and (4, 10), use the formula m = (y2 - y1) / (x2 - x1), which gives a slope of 1.

The question pertains to finding the slope of a line that passes through certain points with given x and y coordinates. The slope of a line is the ratio of the change in y (the rise) to the change in x (the run). To calculate it, we can use any two points on the line. Let's use the points (-8, -2) and (4, 10) as an example.

We calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the values:

m = (10 - (-2)) / (4 - (-8))

m = (12) / (12)

The slope m equals 1.

This means for every increase of 1 on the horizontal axis, there is a rise of 1 on the vertical axis.


Related Questions

What is the endpoint formula given midpoint?

Answers

Answer:

  B = 2M -A

Step-by-step explanation:

For given endpoint A and midpoint M, the other endpoint B can be found using the definition of the midpoint:

  M = (A+B)/2

  2M = A+B . . . . . multiply by 2

  2M-A = B . . . . . subtract A

The second endpoint can be found by subtracting the given endpoint from twice the midpoint:

  B = 2M -A

NEED HELP ASAP! I WILL MARK YOU AS BRAINLIEST!

Answers

Answer:

3/8 is the probability

Step-by-step explanation:

A rectangle sandbox has an area of 64 square yards. What might be the perimeter of the sandbox?

Answers

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

A submarine is descending at a rate of 7 feet per second.
The two variables are:
f = the number of feet the sub descends
s = the number of seconds
The independent variable, [Blank 1 ]
causes a change in
the dependent variable [Blank2].
Opionts for BLANK1
A) The number of secounds.
B) The number of feet the sub descends.
C)The rate the sub descends.
D)The color of the sub.

Options for BLANK2
A)The number of secounds
B) The number of feet the sub descends.
C)The rate the sub descends
D)The color of the sub.
(Help!)​

Answers

The independent variable is; A: The number of secounds.

The dependent variable is; B) The number of feet the sub descends.

What is the independent and dependent variable?

A dependent variable depends on another variable in a given data while an independent variable does not depend on any other variable.

We are told that the submarine is descending at a rate of 7 ft/s. Now, this means that for every second, he descends at a rate of 7ft. Thus, the more the number of seconds, the more the distance covered.

Thus, the number of feet depends on the time taken in seconds and such the independent variable is the the number of seconds while the dependent variable is the number of feet the sub descends.

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Answer:

Step-by-step explanation:

The expression 20,000(1.05)' represents the population of a town t years after 2005

Select the value from each drop-down menu that best completes the sentence.

The population of the town

by

• each year

Answers

Answer:

Step-by-step explanation:

The given expression represents exponential growth. The expression is written as

20,000(1.05)^t

Where

20000 represents the initial population of the town in 2005.

1.05 represents the rate at which the population is increasing each year after 2005. The actual growth rate is

0.05 × 100 = 5%

t represents the number of years after 2005

Therefore, the complete sentence would be

The population of the town is increasing by 5% each year.

What’s the square root of 6

Answers

Answer:

2.44948974

Hope I could help.

Brainliest plz ;)

Cindy asked to borrow Melinda's math book. Which sentence shows a correctly written response to Cindy's question?​

Answers

Answer:

C

Step-by-step explanation:

5) Jane likes to exercise daily. The table on the Google Doc shows the number of
calories y she burns by exercising steadily for x minutes. How many calories
would she burn by exercising for 29 minutes? *

Answers

Answer:

29xy

Step-by-step explanation:

Answer:

319

Step-by-step explanation:

just because work I don't wanna type

Please help me Factor x2 − 4x + 5

Answers

Step-by-step explanation:

Look it's so simple once you learn it's very easy you have to multiply the 1 and 3rd digit so answer is 5 now you have to find the factors of 5 so

x2 - 4x + 5

x2 - 5x + x + 5

x (x - 5) +1 (x + 5)

(x - 5) (x + 1) are the factors but please recheck the question maybe there is a mistake in sign because my factors x + 5 and x - 5 this should be one sign either positive or negative

For breakfast Jamie can choose from cereal, eggs, or a muffin. She also can drink coffee, orange juice, or milk. How many total outcomes are possible?

Answers

Final answer:

Jamie has 9 possible combinations for breakfast based on her choices of 3 different foods and 3 different drinks.

Explanation:

The subject of the question is in the field of probability in mathematics. The question is asking for the total number of outcomes or combinations possible given Jamie's breakfast choices. Jamie can choose from 3 foods (cereal, eggs, muffin) and 3 drinks (coffee, orange juice, milk).

To find the total number of outcomes, you multiply the total number of options in each category. In this case, it would be 3 (food choices) multiplied by 3 (drink choices), which sets the total possible outcomes to be 9.

Therefore, Jamie has 9 possible combinations for her breakfast choice.

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Which equation has no solution?
O
4(x + 3) + 2x = 6(x + 2)
5+2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)
O

Answers

Answer:

5 + 2(3 + 2x) = x + 3(x + 1)

Steven ran for class president against Mandy. Steven Recieved 5 votes for every 3 votes that Mandy Recieved. Mandy Recieved 420 votes if all students voted only once how many students voted in the election

Answers

Answer:

700

Step-by-step explanation:

420×5=2100

2100÷3=700

Answer: 700

Consider this equation:
-2x - 4 + 5x = 8
Generate a plan to solve for the variable. Describe the
steps that will be used.
Combine like terms

Answers

Answer:

x=4

Step-by-step explanation:

Answer:

Solve for the (number or thing that changes), so you need to (separate far from others)/get x by itself

-2x - 4 + 5x = 8 First I want to combine like terms (-2x and 5x)

-4 + 3x = 8 (Add 4 on both sides)

3x = 12 Then divide 3 into both sides to get x by itself

x = 4

Combine like terms (add the 5x to the -2x to get 3x). Move the -4 to the other side to get 3x= 12. Divide both sides by 3 to get x=4. Apply the addition property of (a state where all things are equal), Apply the division property of (a state where all things are equal) to divide both sides by 3, Finally, check the solution by substituting 4 into the original equation.

*PLEASE MAKE TEXT INTO OWN WORDS IF POSSIBLE

oliver turned a circular dial one degree if he turns the dial one degree 27 times, what is the measurement on the angle in degrees

Answers

Answer:

27 degrees.

Step-by-step explanation:

Please kindly check the attached file

What is the volume of the regular pyramid?
A. 291 cm^3
B. 336 cm^3
C. 168 cm^3
D. 392 cm^3

Answers

Answer:

Option (B) 336 cm³

Step-by-step explanation:

Height of the Regular Pyramid = 14 cm

Base area of the Regular Pyramid = 1/2 * Side²

Area of the Regular Pyramid = 1/3 * Base area * Height

                                                 = 1/3 * 14 * (1/2 * Side²)

                                                 = 1/3 * 14 * (1/2 * 12²)

                                                 = 1/3 * 14 * (1/2 * 144)

                                                 = 1/3 * 14 * 72

                                                 = 24 * 14

                                                 = 336 cm³

So, Option (B) 336 cm³ is the correct Option.

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Mark BRAINLIEST

If x = -5 and y = 3 x − 5, then y equals what number?

Answers

Answer:

-20

Step-by-step explanation:

Plug in  -5 for x

Y=3(-5) -5

Y=-20

Hope this helped

:)

Answer:

-20

Step-by-step explanation:

y= 3x-5

y=3(-5)-5

y= -15-5

y= -20

Can you guys please help me

Answers

Answer:

9^2 +12^2 = m^2

81+144=m^2

225=m^2

m=15

The Pythagorean Theorem is a^2 + b^2 = c^2

In this case, your a is 9, your b is 12, and your c is m

Following the boxes:

9^2 + 12^2 = m^2

81 + 144 = m^2

225 = m^2

m = 15

Given that the measure of ∠x is 30°, and the measure of ∠y is 60°, find the measure of ∠z.

Answers

Answer:

90°

Step-by-step explanation:

Since vertical angles are equal, ∠x is equal to its vertical angle. Since the total angles in a triangle are 180, and x + y = 90, then the angle supplementary to z = 180 - 90 = 90. To find z, it's just 180 - 90 = 90.

Giovanna owns a farm. She is going to randomly select one animal to present at the state fair. She has 6 pigs, 7 chickens, and 10 cows. What is P (chicken)

Answers

Answer:

P(chicken) ≈ 0.3

Step-by-step explanation:

Giovanna will select one animal from 6 pigs or 7 chickens or 10 cows to present at the state fair. From the question, there are a total of 6 + 7 + 10 = 23 animals to choose from.

If she selects a chicken, then P(chicken) = 7/23 = 0.304

P(chicken) ≈ 0.3

Answer:

7/23 OR 0.304...826

Step-by-step explanation:

Please refer to the attached image for explanations

)) Matt's bill for breakfast at a restaurant was $91. He left an 18% tip. What was the total
cost of his breakfast, including tip?

Answers

Answer:

$107.38

Step-by-step explanation:

$91 (the price) multiplied by the percentage 18% (91 x 18 = 1630) (1638/100=16.38 [the tip})

$91 (th original price) + 15.38 (the tip) = $108.38 (final price)

107.38 you take 18 percent of 91 then add it to 91 getting your final total

Help me please thank u

Answers

x^-10 because when multiplying exponents its like adding the exponents and 2+-12 is -10
when multiplying exponents with alike bases, you add the exponents, so with x^2•x^-12, you would add 2 & -12 to get x^-10

z/8 + 2 = -15
The solution is z = ______.

Answers

Look at the attached picture

Hope it will help u..

Answer:

Z = -136

Step-by-step explanation:

z/8 + 2 = -15

       -2       -2

Z/8 = -17

Z/8 X 8     -17 X 8

Z = -136

6x+10>5x-12
Help needed

Answers

Answer:

x > -22

Step-by-step explanation:

6x+10>5x-12

Subtract 5x from each side

6x-5x+10>5x-5x-12

x+10 > -12

Subtract 10 from each side

x+10-10>-12-10

x > -22

A youth director for a city's parks and recreations department is planning for next year's program. From a survey of city residents, the director knows that 35% of the population participate in the parks and recreations programs. For a random sample of 40 people, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places?

Answers

Given Information:  

Sample size = n = 40  

sample proportion = p = 35% = 0.35  

Required Information:

standard deviation of sample proportion = σ

Answer:  

standard deviation of sample proportion = σ = 0.075

Step-by-step explanation:  

Check if the condition np ≥  10 or n(1 - p) ≥ 10 is satisfied

np ≥ 10

40*0.35 ≥ 10

14 ≥ 10 satisfied

n(1 - p) ≥ 10

40(1 - 0.35) ≥ 10

26 ≥ 10 satisfied

Which means that distribution of sample proportion will have a mean closer to the population proportion.

The standard deviation for sample proportion is given by

[tex]\sigma = \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]\sigma = \sqrt{\frac{0.35(1-0.35)}{40}}[/tex]

[tex]\sigma = 0.075[/tex]

Therefore, the standard deviation for the sampling distribution of the sample proportions is 0.075.

A set of math tests is normally distributed
with a mean of 81 and a standard deviation
of 5. If Adam's z-score was -0.6 and Leah's
z-score was 2.2, how many points higher did
Leah score than Adam?

Answers

2.2-0.6=1.6

1.6*81=129.6

129.6/2=64.8

Answer: 64.8

The Leah score than Adam is, 64.8.

Definition of normal distribution:

A normal distribution is a symmetrical continuous probability distribution in which values are usually clustered around the mean.

Step by step:

Adam had a z-score of -0.6 while Leah had a z-score of 2.2.

According, to the question:

[tex]2.2-0.6=1.6\\[/tex]

[tex]1.6[/tex]×[tex]81=[/tex][tex]129.6[/tex]

[tex]\frac{129.6}{2} \\64.8[/tex]

Hence, The Leah score than Adam score are 64.8.

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Please help solve this

Answers

Answer:

0.125

Step-by-step explanation:

Answer:

x = 1/8

Step-by-step explanation:

The first step is to make all of the denominators in the fractions the same. To do so, find what number multiplies by 4 to get to 8. This number is 2. Then, multiply that number to the numerator of the fraction you're going to change.

3/4 becomes 6/8.

The equation becomes 6/8 + x = 7/8.

Now, pay attention to the numerators. What number adds to 6 to get to 7? The answer is 1. Remember, the denominators must be the same, so the final answer is x = 1/8.

need math help!! answer choices are 80 , 40, 20, and 60

Answers

Answer:

60

Step-by-step explanation:

The corresponding angles of the triangles are given, y + 10 and 2y - 40. You need to first find the value of the variable (in this case, y), and to do this, you need to set them equal to one another:

y + 10 = 2y - 40

Subtract y from both sides:

y + 10 = 2y - 40

-y          -y

____________

10 = y - 40

Add 40 to both sides:

10 = y - 40

+40    +40

________

50 = y

Now that we have the value of y, you need to plug the value into one of the expressions (either one will come out with the same answer):

y + 10

50 + 10 = 60

OR

2y - 40

2(50) - 40

100 - 40 = 60

An airplane pilot jumps out of an airplane and has an initial velocity of 32 feet per second downwards. How long does it take to fall from 1000 feet to 760 feet before the parachute opens?

Answers

Answer:

3 seconds

Step-by-step explanation:

Downwards positive

a = 32

s = 1000 - 760 = 240

s = ut + ½at²

240 = 32t + 16t²

t² + 2t - 15 = 0

t² + 5t - 3t - 15 = 0

t(t + 5) - 3(t + 5) = 0

(t - 3)(t + 5) = 0

t = 3, -5

Final answer:

By applying the equation of motion, we can determine that under the conditions specified in the question, it would take about 4.3 seconds for a pilot to fall from 1000 feet to 760 feet.

Explanation:

The question regards the time it takes for a pilot to fall a certain distance with a given initial velocity. The situation can be treated as a free fall, because while in the air the only force the pilot is subjected to (neglecting air resistance) is gravity. The key formula we need is the equation of motion d = vt + 0.5[tex]at^2[/tex],

where:

d is the distance fallen

v is the initial velocity

a is the acceleration due to gravity (9.8[tex]m/s^2[/tex])

t is the time

In this case, the distance d is 1000ft - 760ft = 240ft (73.152m), the initial velocity v is 32 ft/s (9.75m/s downwards).

Plugging these values into the equation, we get 73.152m = 9.75m/s *t + 0.5*(-9.8[tex]m/s^2[/tex])*[tex]t^2[/tex], which can be rearranged and solved to get t = 4.3s.  

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A line that is parallel to y - x = 8 would have a slope of:

Answers

Answer:

1

Step-by-step explanation:

Rearrange  y-x=8 to y=x+8

parallel lines have the same slope

so lines slope is 1

The slope answer is ..... 1

Find the difference.
(4m^2 - m+2) - (-3m^2+ 10m + 4) =(

Answers

Answer:

7m^2 - 11m - 2

Step-by-step explanation:

Distribute the negative.

4m^2 - m + 2 + 3m^2 - 10m - 4 = ?

Now, add the like terms.

4m^2 + 3m^2 = 7m^2

-m + (-10m) = -11m

2 + (-4) = -2

7m^2 - 11m - 2

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