Free Printable Linear Equations Slope and Slope-Intercept Form

1.

What is the slope of the line that passes through (5, 7) and (1, -9)?

a)

4

b)

3

c)

-4

d)

-3

2.

What type of slope does the following graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

3.

Determine the slope:

a)

0

b)

-3

c)

-3/2

d)

2/3

4.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

5.

Find the slope of the line.

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

2

d)

-2

6.

Find the slope from the table.

a)

-4

b)

1

c)

4

d)

-2

7.

What is the slope?

a)

3

b)

-3

c)

10

d)

-6

8.

Find the slope of:
(-4,5) and (-4, 2)

a)

0

b)

6

c)

undefined

d)

-3/8

9.

Find the slope of:
(1,8) and (3,12)

a)

2

b)

1/2

c)

9/7

d)

-2

10.

Find the slope of:

(12,-2) and (4, -6)

a)

-1/2

b)

$\frac{5}{7}$

c)

-2

d)

$\frac{1}{2}$

11.

Find the slope:

a)

2

b)

-2

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

12.

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

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

2

d)

-2

13.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

14.

Find the Slope

a)

No Slope

b)

3

c)

1/3

d)

Zero

15.

Find the Slope

a)

-2/1

b)

-1/2

c)

No Slope

d)

2/1

16.

What is the slope?

a)

5

b)

1/5

c)

15

d)

10

17.

Which shows a negative slope?

a)

b)

c)

d)

18.

What is the slope of the line that goes through

\left(2,\ -2\right)\ and\ \left(-1,\ 1\right)

?

a)

-1

b)

-2

c)

1

d)

2

19.

What is the slope of the line that goes through

\left(1,13\right)\ and\ \left(-20,13\right)

?

a)

3

b)

0

c)

-3

d)

Undefined

20.

What is the slope of the line that goes through

\left(1,\ 8\right)\ and\ \left(1,\ 13\right)

?

a)

-2

b)

0

c)

Undefined

d)

2

21.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

22.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

23.

Find the slope of the line that passes through:

(10, -6) and (-5, 4)

(a)

24.

Find the slope of the line passing through:

(7, 3) and (-3, 0)

(a)

25.

Find the slope of the line passing through:

(0, 4) and (1, 0)

(a)

26.

Find the slope of the line.

(a)

27.

Find the slope of the line that passes through:

(-5, 1) and (-5, -2)

(a)

28.

Find the slope of the line passing through:

(3, 9) and (4, 12)

(a)

29.

Find the slope of the line.

(a)

30.

Find the slope of the line passing through:

(5, 15) and (6, 5)

(a)

31.

Find the slope

(a)

32.

Find the slope of a line passing through:

(6, 9) and (18, 7)

(a)

33.

(a)

34.

Find the slope of the line passing through:

(-8, -8) and (-1, -3)

(a)

35.

Find the slope of the line.

(a)

36.

What is the slope shown on the graph?

(a)

37.

Find the Slope

(a)

38.

Find the slope of the line passing through:

(5, -7) and (10, -7)

(a)

39.

What is the slope formula?

a)

b)

c)

d)

40.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

41.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

42.

Find the slope of:
(1,8) and (3,12)

a)

2

b)

1/2

c)

9/7

d)

-2

43.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

44.

What does "b" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

45.

What is the slope of the line with the equation
$y\ =\ -\frac{3}{2}x\ +\ 4$

a)

$-\frac{3}{2}$

b)

$\frac{3}{2}$

c)

$4$

d)

$-4$

46.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

47.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

48.

What is the y-intercept of the line with the equation
$y\ =\ -2x\ +\ 4$

a)

$-2$

b)

$2$

c)

$4$

d)

$-4$

49.

What is the equation of a line with a slope of 2 and a y-intercept of -5?

a)

y = 5x - 2

b)

y = 2x - 5

c)

y = -2x - 5

d)

y = 2x + 5

50.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

51.

Write the equation of the line.

a)

y = -2/3x + 4

b)

y = 2/3x + 4

c)

y = 3/2x + 4

d)

y = -3/2x + 4

52.

Write a equation: A plumber charges $50 for a house call plus $12 per hour for labor.

a)

y = 50 x + 12

b)

y =12 x + 50

c)

y = 62 x

d)

x = 50 + 12y

53.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

54.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

55.

What is the slope in this picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

56.

Which equation matches the table?

a)

y = 3x + 9

b)

y = x + 9

c)

y = x + 3

d)

y = 12x - 3

57.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

58.

What is the y-intercept in the equation y= -2x + 5

a)

-2

b)

3

c)

5

d)

Cannot be Determined

59.

What is the slope in the equation y= -2x + 5

a)

-2

b)

3

c)

5

d)

Cannot be Determined

60.

Match the Graph with its slope.

a)

1.

Negative

b)

2.

Positive

c)

3.

Zero

d)

4.

Undefined

61.

Slope is know as

rise/______

a)

run

b)

fall

c)

none

d)

rise

62.

Find the slope of the line below using rise/run.

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

3

d)

$\frac{1}{3}$

63.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

64.

What is the formula for finding slope?

a)

$y=mx+b$

b)

$Ax+By=C$

c)

$\frac{y_2-y_1}{x_2-x_1}$

65.

What is the slope of a line between (-4,14) and (-16,8)?
Reminder!

Formula:

$m=\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}$

(a)

66.

Find the slope. Simplify, if you can.

a)

$\frac{2}{5}$

b)

$\frac{5}{2}$

c)

$2\ \frac{1}{2}$

d)

2

67.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

68.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

69.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

70.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

71.

What is the y-intercept of the line with the equation
$y\ =\ -2x\ +\ 4$

a)

$-2$

b)

$2$

c)

$4$

d)

$-4$

72.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

73.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

74.

Write the equation of the graph in slope-intercept form

a)

$y=-2x-4$

b)

$y=2x\ -\ 4$

c)

$y=\frac{1}{2}x-4$

d)

$y=-\frac{1}{2}x-4$

75.

Find the slope from the given points:

(3,-1) (4,7)

(a)

76.

Using the equation $y=8x-7\$ what is the y intercept?

(a)

77.

Find the y-intercept of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

b = -6

b)

b = -7

c)

b = 6

d)

b = 7

78.

Write the equation in slope intercept form of a line that passes through the given pair of points: (0,-1) and (2,1)

a)

y =x + 1

b)

y = x - 1

c)

y = -x + 1

d)

y = -x - 1

79.

Write a equation: A plumber charges $50 for a house call plus $12 per hour for labor.

a)

y = 50 x + 12

b)

y =12 x + 50

c)

y = 62 x

d)

x = 50 + 12y

80.

Identify the slope. (m = rise / run)

a)

$\frac{4}{3}$

b)

$-\frac{4}{3}$

c)

$\frac{3}{4}$

d)

$-\frac{3}{4}$

81.

Identify the slope. (m = rise / run)

a)

$-\frac{5}{6}$

b)

$-\frac{6}{5}$

c)

$\frac{6}{5}$

d)

$\frac{5}{6}$

82.

Identify the slope of (-13, -17) and (8, 12)

a)

$-\frac{21}{29}$

b)

$-\frac{29}{21}$

c)

$\frac{21}{29}$

d)

$\frac{29}{21}$

83.

Identify the slope of (-11, 10) and (-15, 13)

a)

$\frac{4}{3}$

b)

$-\frac{4}{3}$

c)

$\frac{3}{4}$

d)

$-\frac{3}{4}$

84.

Identify the slope of (8, -3) and (-2, 16)

a)

$\frac{19}{10}$

b)

$-\frac{19}{10}$

c)

$\frac{10}{19}$

d)

$-\frac{10}{19}$

85.

Identify the slope of (8, -3) and (-2, 16)

a)

$\frac{7}{5}$

b)

$-\frac{5}{7}$

c)

$\frac{5}{7}$

d)

$-\frac{7}{5}$

86.

Rewrite this equation in slope intercept form (y = mx. + b):

x + y = -15

a)

x = -y -15

b)

y = -x + 15

c)

y = -x - 15

d)

y = x - 15

87.

Rewrite this equation in slope intercept form (y = mx. + b):

9x + 3y = -6

a)

3y = 9x -6

b)

y = -3x -2

c)

y = -9x - 6

d)

y = -3x +2

88.

Rewrite this equation in slope intercept form (y = mx. + b):

6x - 2y = 10

a)

2y = 6x - 10

b)

y = -3x - 5

c)

y = 3x - 5

d)

y = -3x + 5

89.

Which equations have the same slopes?

(Hint: rewrite in slope-intercept form first)

a)

-3x + y = -4

b)

-6x + 3y = 6

c)

-2x + y = -4

d)

-10x + 12y = 9

90.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

91.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

92.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

93.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

94.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

95.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

96.

Which of the following equations match the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

97.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

98.

Which of the following equations match the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

99.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

100.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dotted.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.

101.

Which of the following is "NOT" a solution for the inequality?

y ≤ 5x - 1

a)

(0, -3)

b)

(5, 24)

c)

(-2, -15)

d)

(1, 7)

102.

Which of the following is true of the given graph?

y ≥ -2x + 1

a)

The graph is a dotted line, shaded above.

b)

The graph is a solid line, shaded above.

c)

The graph is a dotted line, shaded below.

d)

The graph is a solid line, shaded below.

103.

Are the points on the boundary line part of the solution set or not?

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

104.

When graphing $y<\frac{3}{5}x-4$ , you will draw which of the following.

a)

A dotted line

b)

A solid line

c)

Shade up

d)

Shade down

105.

How can I tell if an inequality will have a solid line?

a)

It has an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

106.

How can I tell if an inequality will have a dashed line?

a)

It has an equal sign.

b)

The symbol is greater than or less than.

c)

The symbol has "or equal to."

d)

You just guess.

107.

Slope is describe as

a)

$\frac{rise}{run}$

b)

$\frac{run}{rise}$

108.

If the inequality symbol is $\le$ or $\ge$ , the line will be ___________.

a)

solid

b)

dotted

109.

If the inequality symbol is $<$ or $>$ , the line will be _________.

a)

solid

b)

dotted

110.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

111.

What graph matches THIS inequality? (ignore the one in the image above) y < 2x + 3

a)

b)

c)

d)

112.

Is the point (1, 2) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dotted.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.

113.

y < x - 2 will have what kind of line?

a)

dashed

b)

solid

114.

Which of the following equations match the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

115.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

116.

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

a)

The daily fee for the moving truck

b)

The per-mile fee for the moving truck

c)

How much Charlie paid for the truck

d)

The number of miles he drove

117.

The graph represents gasoline consumption when driving a certain distance in km. What is the meaning of the slope?

a)

The tank started with 50 L of gasoline

b)

the amount of gasoline consumed per km driven

c)

the distance it takes to lose a Liter of gas

d)

the gasoline is leaking because the slope is negative.

118.

The table represents a used car salesman's monthly salary including commission made on the sale of cars. What is the y-intercept and what does it represent?

a)

The y-intercept is $850/car and it represents the commission per car sold.

b)

The y-intercept is $1500/car and it represents the commission per car sold.

c)

The y-intercept is $1500 and it represents the monthly salary before commission.

d)

The y-intercept is $2775 and it represents the monthly salary before commission.

119.

An online music service lets customers download an unlimited number of songs for $0.25 each after paying a monthly membership fee of $5.00. The total amount of money a customer spends on music in dollars in a single month can be found using the function y=0.25x+5. What does the variable x represent in this function?

a)

The total amount of money the customer spends on music each month

b)

The number of songs the customer downloads each month

c)

The number of customers that use the music service

d)

The cost of downloading one song

120.

The equation c = 0.20t + 3.50 shows the relationship between the charge c in dollars for renting a kayak for t minutes.What is the meaning of the y-intercept?

a)

It costs $3.50 per minute to rent a kayak.

b)

For $0 you can rent a kayak for 3.5 minutes.

c)

Every 3.50 minutes, you have to pay $1.00.

d)

You have to pay $3.50 up front before using the kayak.

121.

The equation c = 0.20t + 3.50 shows the relationship between the charge c in dollars for renting a kayak for t minutes. What is the meaning of the slope of the equation?

a)

For $1.00, you can rent a kayak for 20 minutes.

b)

It costs $0.20 per minute to rent the kayak.

c)

You have to pay $0.20 up front before using the kayak at all.

d)

Every .2 minutes, you have to pay $1.00.

122.

The graph represents the height of a burning candle. What is the meaning of the y-intercept?

a)

the time it takes to burn the entire candle

b)

the rate at which the candle is losing height

c)

the change in the height of the candle each hour

d)

the original height of the candle

123.

What line has the steepest slope?

a)

All slopes are equal

b)

Red

c)

Blue

d)

Green

124.

What does the slope represent in this situation?

a)

The sloth runs 1 feet in 3 minutes

b)

The sloth runs 3 feet in 1 minute

c)

The sloth runs fast

d)

The sloth runs 6 feet in 1 minute

125.

Which runner was faster?

a)

Runner A

b)

Runner B

126.

What does the x-intercept of the graph represent?

a)

The number of cookies the presenter had before making any presentations

b)

The maximum number of cookies the presenter gave away during every presentation

c)

The number of presentations the presenter made per hour

d)

The maximum number of presentations the presenter made before running out of cookies

127.

What does the y-intercept represent?

a)

The amount of each deposit made

b)

The initial amount of money in the savings account

c)

The number of deposits made

d)

The amount of money in the savings account after 50 deposits

128.

What does the rate of change represent?

a)

The population increased 5,700 every year

b)

The initial population was 193,000

c)

The population decreased 5,700 every year

d)

The population increased 193,000 every year

129.

What does the slope mean in the context of the problem?

a)

The cost will increase by $1.40 per topping

b)

The cost will decrease by $1.40 per topping

c)

The cost will increase by $1.90 per topping

d)

The cost will decrease by $1.90 per topping

130.

What is the meaning of the y-intercept?

a)

The hamburger will cost $1.90 without any toppings.

b)

The hamburger will cost $1.40 without any toppings.

c)

The cost of the hamburger is $1.90 with one topping

d)

The cost of the hamburger doesn't change no matter how many toppings there are.

Linear Equations Slope and Slope-Intercept Form

Total questions: 130

Worksheet time: 9hrs 57mins

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