Quiz about Equations of Lines in Context

Question 1

Question 1.

Accepted Answer

Taylor can write 25 words per minute

Answer

Taylor can write 6 words per minute

Answer

Taylor can write 50 words per minute

Answer

Taylor can write 150 words per minute

Question 2

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

Accepted Answer

75

Answer

200

Answer

150

Answer

300

Question 3

Given the equation y = 2x + 5 , where x is the number of homework questions and y is the number of minutes it takes to do all the homework, what does the y-intercept of the line mean in real world context.

Accepted Answer

It initially takes 5 minutes to get homework out and start working.

Answer

For every homework assignment, it takes 5 more minutes to complete.

Answer

For every homework assignment, it takes 2 more minutes to complete.

Answer

It initially takes 2 minutes to get homework out and start working.

Question 4

Which company shows a greater rate of change?

Accepted Answer

Water's Edge Rafts

Answer

Ryan's Rafts

Question 5

Who drove faster?
Dan drives 60 miles in 5 hours.
David drives 75 miles in 6 hours.

Accepted Answer

David

Answer

Dan

Question 6

John is trying to save money this year. When he opened his account he had a balance of $300. By the end of the 12 month time span, John had $1500 in his savings account. Find the rate of change. Write an equation in slope-intercept form to model this situation.

Accepted Answer

y = 100x + 300

Answer

y = 100x - 300

Answer

y = 1/10x + 300

Answer

y = 1/10x - 300

Question 7

Johnny has to pay $15 for a large pizza and 1.50 for each topping. What is the meaning of the y-intercept?

Accepted Answer

It cost $15 for a large pizza with no toppings

Answer

It cost 1.50 per topping

Answer

It cost 1.50 for unlimited toppings

Answer

It cost $15 for a large pizza

Question 8

Which line has the greatest average rate of change on the graph? Why?

Accepted Answer

Blue, it's average rate of change is $120 per month

Answer

Red, it's average rate of change is $40 per month

Answer

Blue, it's average rate of change is $160 per month

Answer

Red, it's average rate of change is $80 per month

Question 9

Question 9.

Accepted Answer

Not a Function

Answer

Function

Question 10

Question 10.

Accepted Answer

Function

Answer

Not a Function

Question 11

Question 11.

Accepted Answer

6

Answer

-6

Answer

14

Answer

-14

Question 12

Question 12.

Accepted Answer

1

Answer

-1

Answer

19

Answer

-19

Question 13

At what rate did the rain fall?

Accepted Answer

2 cm per hour

Answer

¹/₄ cm per hour

Answer

¹/₂ cm per hour

Answer

4 cm per hour

Question 14

Find the rate of change.

Accepted Answer

-2 gallons per minute

Answer

-2 minutes per gallon

Answer

-20 minutes per gallon

Answer

-20 gallons per minute

Question 15

Find the slope of the line that passes through
(10, 1) and (5, 2)

Accepted Answer

-1/5

Answer

1/5

Answer

5

Answer

-5

Question 16

Find the slope of the line that passes through the points (2, 4) and (6, 12)

Accepted Answer

2

Answer

1/2

Answer

-1/2

Answer

-2

Question 17

.Use the graph to determine the equation of the line in slope-intercept form.

Accepted Answer

y = - 3x + 3

Answer

y = 3x + 3

Answer

y = 1/3x + 3

Answer

y = -1/3x +3

Question 18

What is the y-intercept of this line?

Accepted Answer

-3

Answer

-2

Answer

0

Question 19

What is the equation of the function with the least expensive hourly rate?

Accepted Answer

y = 2.25x + 12.75

Answer

y = 2.25x

Answer

y = 6x

Answer

y = 6x + 1

Question 20

Write the equation in slope-intercept form to represent the line that is graphed.

Accepted Answer

y = 2x - 2

Answer

y = 1/2x + 1

Answer

y = -2x -2

Answer

y = 2x +2

Question 21

Write the equation of a line with m = 3 that passes through (2, -1)

Accepted Answer

y = 3x - 7

Answer

y = 3x + 1

Answer

y = -3x + 5

Question 22

What is the slope of the line that contains these two points? (1, 6) and (3, -4)?

Accepted Answer

-5

Answer

-1/5

Answer

-1

Answer

5

Question 23

What is the slope of the line graphed below?

Accepted Answer

Zero

Answer

-2

Answer

Undefined

Question 24

11. Which equation has a y-intercept of -3?

Accepted Answer

-3y = 6x + 9

Answer

6x + 3y =9

Answer

3y = - 6x + 9

Answer

2y = 3x + 6

Question 25

Question 25.

Accepted Answer

d

Answer

a

Answer

b

Answer

c

Question 26

Write the function -2x + 4y =12

in slope-intercept form.

Accepted Answer

y = 1/2x + 3

Answer

4y =-2x + 12

Answer

y = 2x + 3

Answer

y = -1/2x - 3

Question 27

11. Each month, Danielle pays $8.00 for her cell phone plan and an additional $0.10 for each text message she sends. Write the equation in slope-intercept form to represent the numbers of dollars spent y, Dependent upon the numbers of text sent x.. Determine how many texts did Danielle sent in a month if her total monthly cell phone bill was $52.00.

Accepted Answer

440

Answer

4.4

Answer

44

Answer

4400

Question 28

Ben and Julia rented a truck from the same company to move to college. Ben drove 150 miles and paid $64.95 while Julia drove 84 miles and paid $45.15. How many miles could you drive the truck if you did not want to spend more than $105? Round to the nearest mile.

Accepted Answer

284 miles

Answer

195 miles

Answer

252 miles

Answer

350 miles

Question 29

Which set of values is a function?

Accepted Answer

(6,-5) (7, -3) (8, -1) (9, 1)

Answer

(9,5) (10,5) (9,-5) (10,-5)

Answer

(3,4) (4,-3) (7,4) (3, 8)

Answer

(2, -2) (5, 9) (5, -7) (1, 4)

Question 30

Is the graph below a function? Why or why not?

Accepted Answer

It is a function, because no vertical lines hit it twice.

Answer

It's not a function, because a vertical line hits it twice.

Answer

It's not a function, because no vertical lines hit it twice.

Answer

It is a function, because a vertical line hits it twice.

Question 31

Is the graph a function? Why or why not?

Accepted Answer

It's not a function, because a vertical line hits it twice.

Answer

It is a function, because no vertical lines hit it twice.

Answer

It's not a function, because no vertical lines hit it twice.

Answer

It is a function, because a vertical line hits it twice.

Question 32

Is this a function? Why or why not?

Accepted Answer

It's not a function, because an x has multiple y's.

Answer

It is a function, because each x has only one y.

Answer

It's not a function, because a y has multiple x's.

Answer

It is a function, because each y has only one x.

Question 33

Find the slope:

Accepted Answer

m= 4

Answer

m=1/4

Answer

m=-4

Answer

m=-1/4

Question 34

Who saves more per day: Adam or Bianca?

Accepted Answer

They save the same amount.

Answer

Adam

Answer

Bianca

Question 35

Which panda is growing faster?

Accepted Answer

Mochi

Answer

Kappa

Answer

Po the dragon warrior

Answer

Jack Black

Question 36

Find the slope of the line.

Accepted Answer

Undefined

Answer

0

Answer

1

Answer

-1

Question 37

which of the following is a linear graph?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 38

What does the slope represent in this situation?

Accepted Answer

The sloth runs 6 feet in 1 minute.

Answer

The sloth runs 1 feet in 3 minutes.

Answer

The sloth runs 3 feet in 1 minute.

Answer

The sloth runs fast.

Question 39

Using the graph, find the average rate of change at which this person was traveling.

Accepted Answer

40 miles per hour

Answer

80 miles per hour

Answer

20 miles per hour

Answer

160 miles per hour

Question 40

Select the correct graph for each inequality.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 41

Select the correct graph for each inequality.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 42

What is the equation of this line?

Accepted Answer

y = 5

Answer

m = 0

Answer

m = undefined

Answer

x = 5

Question 43

What is the equation of this line?

Accepted Answer

x = 3

Answer

m = 0

Answer

m = undefined

Answer

y = 3

Question 44

Write down the coordinate of the y-intercept of the blue graph

Accepted Answer

(0, -1)

Answer

(0, 1)

Answer

(1, 0)

Answer

(-1, 0)

Question 45

What is the x-value for any point on the Y-axis?

Accepted Answer

0

Answer

1

Answer

2

Answer

any value

Question 46

The location where the line crosses the y-axis is called the...

Accepted Answer

y-intercept

Answer

slant

Answer

slope

Answer

x-intercept

Question 47

The change in rise over run in a graph is called the...

Accepted Answer

slope

Answer

slant

Answer

y-intercept

Answer

x-intercept

Question 48

The axis that runs horizontally on a coordinate plane is called the...

Accepted Answer

x-axis

Answer

y-axis

Answer

flat line

Answer

straight line

Question 49

The axis that runs vertically on a coordinate plane is called the...

Accepted Answer

y-axis

Answer

x-axis

Answer

flat line

Answer

straight line

Question 50

Vertical lines have

Accepted Answer

Undefined Slopes

Answer

Negative slopes

Answer

Zero slopes

Answer

Positive Slopes

Question 51

Horizontal lines have

Accepted Answer

Zero slopes

Answer

Undefined slopes

Answer

Negative slopes

Answer

Positive Slopes

Question 52

What is the slope of the line 3y = 12x + 15

Accepted Answer

4

Answer

27

Answer

12

Answer

15

Question 53

The slopes of parallel lines are...

Accepted Answer

the same

Answer

opposite

Answer

always different

Question 54

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

Accepted Answer

Neither

Answer

Parallel

Answer

Perpendicular

Question 55

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

Accepted Answer

Perpendicular

Answer

Parallel

Answer

Neither

Question 56

Write equation of a line in point slope form that passes through (3,8) and has a slope of 5?

Accepted Answer

y-8=5(x-3)

Answer

y=5x+8

Answer

y-3=5(x-8)

Answer

y-y₁₌ m(x-x₁₎

Question 57

Write an equation in point slope form of equation of line

point (7,10) and has a slope of -2?

Accepted Answer

y-10 = -2(x-7)

Answer

y-10 = -2(x+7)

Answer

y+10 = -2(x+10)

Answer

y -10 = -2x+2

Question 58

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

Accepted Answer

y + 7 = -1/4(x - 4)

Answer

y - 4 = -1/4(x + 7)

Answer

y + 7 = 4(x - 4)

Answer

y - 7 = -1/4(x - 4)

Question 59

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

Accepted Answer

y - 5 = -3(x - 10)

Answer

y= -3x + 35

Answer

y + 5= -3(x + 10)

Answer

y= -3x - 35

Question 60

For the equation
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?

Accepted Answer

-3

Answer

-1

Answer

1

Answer

5

Question 61

What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?

Accepted Answer

y = -3x+13

Answer

y = -3x - 23

Answer

y = -3x -13

Answer

y = -3x - 11

Question 62

Which of these represents point-slope form of a linear equation?

Accepted Answer

y - y₁ = m(x - x₁)

Answer

Ax + By = C

Answer

y = mx + b

Answer

y=kx

Question 63

Which of these represents slope-intercept form of a linear equation?

Accepted Answer

y = mx + b

Answer

y - y₁ = m(x-x₁)

Answer

Ax + By = C

Answer

y=kx

Question 64

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

Accepted Answer

(-4, 3)

Answer

(3, -4)

Answer

(-3, -4)

Answer

(-4, -3)

Equations of Lines in Context

123 questions

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

Given the equation y = 2x + 5 , where x is the number of homework questions and y is the number of minutes it takes to do all the homework, what does the y-intercept of the line mean in real world context.

Which company shows a greater rate of change?

Who drove faster?
Dan drives 60 miles in 5 hours.
David drives 75 miles in 6 hours.

John is trying to save money this year. When he opened his account he had a balance of $300. By the end of the 12 month time span, John had $1500 in his savings account. Find the rate of change. Write an equation in slope-intercept form to model this situation.

Johnny has to pay $15 for a large pizza and 1.50 for each topping. What is the meaning of the y-intercept?

Which line has the greatest average rate of change on the graph? Why?

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Equations of Lines in Context

123 questions

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

Given the equation y = 2x + 5 , where x is the number of homework questions and y is the number of minutes it takes to do all the homework, what does the y-intercept of the line mean in real world context.

Which company shows a greater rate of change?

Who drove faster?Dan drives 60 miles in 5 hours.David drives 75 miles in 6 hours.

John is trying to save money this year. When he opened his account he had a balance of $300. By the end of the 12 month time span, John had $1500 in his savings account. Find the rate of change. Write an equation in slope-intercept form to model this situation.

Johnny has to pay $15 for a large pizza and 1.50 for each topping. What is the meaning of the y-intercept?

Which line has the greatest average rate of change on the graph? Why?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Who drove faster?
Dan drives 60 miles in 5 hours.
David drives 75 miles in 6 hours.