Free Printable Practice: Complete Coordinate Plane

1.

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

2.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

3.

Note: Multiply each point on the Y axis by 10.

( 2 becomes 20, etc.)

Your friends and you are going to rent e-bikes for a few hours. There is a $15 refundable deposit plus $7.50 per hour of use.

A) Label the x and y axes.

B) Graph the line including the coordinates of at least two points--whole numbers only.

C) Write the equation of the line resulting from the data given.

D) What is the total cost of renting an e-bike for 5 hours?

Use the margins and blank space to answer the questions. Begin answer with question letter' A), B)...

4.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

5.

Find the slope and y-intercept of the following:

3x - y = 9

a)

Slope = 3, y-intercept = -9

b)

Slope = 9, y-intercept = 3

c)

Slope = 3, y-intercept = 9

d)

Slope = -1, y-intercept = 3

6.

What is the slope:

5x + 10y = 30

a)

m = -1/2

b)

m = 1/2

c)

m = 3

d)

m = 1/3

7.

Find the slope given:

(-3, 8) and (10, 4)

a)

-4/13

b)

-6/5

c)

-13/4

d)

5/6

8.

What is the slope of the line:

8x - 24y = 32

a)

m = 3

b)

m = 8

c)

m = 1/3

d)

m = -24

9.

What is the slope of the line y=8x + 1

a)

m=undefined

b)

m=0

c)

m=8

d)

m = 1

10.

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

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

11.

For the equation y - 3 = 2(x + 4),

the line has a slope of 2

and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

12.

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

a)

-1

b)

1

c)

-3

d)

5

13.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

14.

For the equation
$y\ -\ 4\ =\ -\frac{1}{3}\left(x\ -\ 7\right)$

what are the coordinates for the point used in the formula?

a)

(4, 7)

b)

(-7, - 4)

c)

(7, 4)

d)

(-4, -7)

15.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

16.

Find the slope of the line.

a)

1/4

b)

-1/4

c)

-4

d)

4

17.

What direction is an undefined slope?

a)

horizontal

b)

parallel

c)

vertical

d)

perpendicular

18.

Find the slope of the line that passes through
(1, -19) and (-2, -7)

a)

-4

b)

4

c)

1/4

d)

-1/4

19.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

20.

Which statement below accurately represents the graph?

a)

$100 is earned for each hour worked

b)

$100 is earned for every 2 hours worked

c)

$500 is earned for every 8 hours worked

d)

$200 is earned for every 3 hours worked

21.

What is happening in the graph between 30 and 40 minutes?

a)

Sarah is accelerating

b)

Sarah is not moving

c)

Sarah is slowing down

d)

Sarah is travelling at a constant speed

22.

According to this graph, for every 24 hours, about how many hours are spent watching TV?

a)

0 hours

b)

5 hours

c)

13 hours

d)

3 hours

23.

What is the relationship between the independent variable and the dependent variable?

a)

As time increase, distance decreases

b)

As time increases, distance increases

c)

As time decreases, distance decreases

d)

As time decreases, distance increases

24.

The graph shows the number of miles a car has driven over time.

What does the point (1, 50) mean in the context of the situation?

a)

For every hour the car can travel 50 miles.

b)

For every minute, the car can travel 50 miles.

c)

The start of the graph.

25.

Which runner won the race?

a)

A

b)

B

c)

C

26.

Which of the graphs shows that one of runners started 10 yards further ahead of the other?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

27.

a)

A

b)

B

c)

C

d)

D

28.

a)

b)

c)

d)

29.

Find x, if F(x) = 2.

a)

4

b)

-2

c)

-6

d)

8

30.

What is the domain of F(x)?

a)

-10\le x\le8

b)

$-7\le x\le2$

c)

all real numbers

d)

$-10\le y\le8$

e)

$-7\le y\le2$

31.

What is the range of F(x)?

a)

-10\le x\le8

b)

$-7\le x\le2$

c)

all real numbers

d)

$-10\le y\le8$

e)

$-7\le y\le2$

32.

a)

b)

c)

d)

33.

If f(x) = 2x² + 5x - 3, evaluate f(4).

a)

f(4) = 4

b)

f(4) = 49

c)

f(4) = 25

d)

f(4) = 55

34.

What is the meaning of the y-intercept of this graph?

a)

when the gas take is empty

b)

starting amount of gas

c)

rate at which the gas take empties

d)

the starting mileage

35.

Which slope-intercept equation matches the graph?

a)

$y=\frac{3}{2}x+2$

b)

$y=\frac{2}{3}x-3$

c)

$y=\frac{2}{3}x+2$

d)

$y=\frac{3}{2}x-3$

36.

What is the situation of the linear graph?

a)

The beaker is being filled.

b)

The beaker is being emptied.

c)

The beaker is remaining the same amount

37.

Select ALL statements below that are TRUE.

a)

slope

-\frac{1}{3}

b)

y-intercept (0,1)

c)

y-intercept (0,0)

d)

slope -3

38.

Which slope intercept equation matches the graph?

a)

$y=4x+4$

b)

$y=4x-1$

c)

$y=\frac{1}{4}x+4$

d)

$y=-4x+4$

39.

What is the meaning of the y-intercept of this graph?

a)

when the gas take is empty

b)

starting amount of gas

c)

rate at which the gas take empties

d)

the starting mileage

40.

Which slope-intercept equation matches the graph?

a)

$y=\frac{3}{2}x+2$

b)

$y=\frac{2}{3}x-3$

c)

$y=\frac{2}{3}x+2$

d)

$y=\frac{3}{2}x-3$

41.

What is the situation of the linear graph?

a)

The beaker is being filled.

b)

The beaker is being emptied.

c)

The beaker is remaining the same amount

42.

Select ALL statements below that are TRUE.

a)

slope

-\frac{1}{3}

b)

y-intercept (0,1)

c)

y-intercept (0,0)

d)

slope -3

43.

Which slope intercept equation matches the graph?

a)

$y=4x+4$

b)

$y=4x-1$

c)

$y=\frac{1}{4}x+4$

d)

$y=-4x+4$

44.

Which equation represents this situation: Rocky's Canoe Rental charges a flat fee of $25 and $30 per hour?

a)

$y=25x+30$

b)

$y=30x+25$

c)

$y=55x$

d)

$y=30x-25$

45.

What is the slope-intercept equation of the graph?

a)

$y=-x-5$

b)

$y=5x$

c)

$y=x-5$

d)

$y=x+5$

46.

Which equation represents this situation:

Pappy's Pizza charges $8 for a plain cheese pizza and $1.50 per topping.

a)

$y=1.50x+8$

b)

$y=8x+1.50x$

c)

$y=8x+1.5$

d)

$y=9.50x$

47.

What is the starting temperature in the tank?

a)

82 degrees

b)

100 degrees

c)

5 degrees

d)

80 degrees

48.

What is the meaning of the coordinate (4, 74)?

a)

At 74 hours, the temperature of the tank is 4 degrees.

b)

At 4 hours, the temperature of the tank is 74 degrees.

c)

After 4 hours the temperature of the take is 47 degrees.

49.

The graphs show information about Chris's journey. Which of the following best describes his journey?

a)

Chris walked slowly and then ran
at a constant speed.

b)

Chris walked at a constant speed but
turned back for a while before continuing.

c)

Chris walked at a constant speed
without stopping or turning back

d)

Chris walked at a constant speed but
stopped for a while in the middle then continued his journey

50.

Refer to the given figure, what is the equation of line BD?

a)

y = 0

b)

x = 0

c)

y = x

d)

y = x +2

51.

Refer to the figure given, what is the coordinate of D so that ABCD is a square?

a)

(5, 5)

b)

(2, 5)

c)

(5, 2)

d)

(2, 2)

52.

What is the slope of AC in the right triangle ABE shown?

a)

$-\frac{5}{13}$

b)

$-\frac{5}{12}$

c)

$\frac{12}{13}$

d)

$\frac{12}{5}$

e)

13

53.

IF the slope of a line in the standard (x,y) coordiate plane is 0, and one point on the line is (5,1), which of the following points is also on the line?

a)

(-2,1)

b)

(-1,-5)

c)

(0,0)

d)

(1,0)

e)

(5,5)

54.

Write the equation of the line in slope-intercept form.

a)

y = x + 3

b)

y = 1/2x + 3

c)

y = 3x + 2

d)

y = 3

55.

Find the slope and y-intercept of:

2x - 3y = -12

a)

slope = 2/3, y-intercept = -12

b)

slope = -2/3, y-intercept = -3

c)

slope = 2/3, y-intercept = 4

d)

slope = -12, y-intercept = -3

56.

What is the x-intercept, y-intercept, and slope of the line 2x+4y=12

a)

2, 4, 12

b)

6, 2, -12

c)

2, 2, 2/4

d)

6, 3, -1/2

57.

Write the equation of the line in standard form

a)

y=2/3x-2

b)

-2/3x-y=-2

c)

-2x+3y=-6

d)

2x-3y=6

58.

which graph represents the equation y=2x

a)

b)

c)

d)

59.

Write the following standard form equation of a line in slope-intercept form: $2x-y=-3$ and find its corresponding graph?

a)

b)

c)

d)

60.

Write the following standard form equation of a line in slope-intercept form: $2x+3y=15$ and find its corresponding graph?

a)

b)

c)

d)

61.

Use the given graph to find the corresponding slope-intercept form equation of the line?

a)

$y=-\frac{3}{4}x+4$

b)

$y=-\frac{3}{4}x-4$

c)

$y=\frac{3}{4}x+4$

d)

$y=\frac{3}{4}x-4$

62.

Use the given graph to find the corresponding slope-intercept form equation of the line?

a)

$y=-2x+3$

b)

$y=-2x-3$

c)

$y=2x+3$

d)

$y=3x-2$

63.

Use the given graph to find the corresponding standard form equation of the line?

a)

$y\ =\ -x\ +\ 2$

b)

$y=x+2$

c)

$y\ =\ -x\ -\ 2$

d)

$y\ =\ x\ -\ 2$

64.

What is the equation of the graph shown?

a)

$y\ =\ 2x$

b)

$y\ =\ -2x$

c)

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

d)

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

65.

Identify the x-intercept:

2x+5y=10

a)

(2, 0)

b)

(0, 2)

c)

(5, 0)

d)

(0, 5)

66.

Which ordered pair could represent a y-intercept on a graph?

a)

(6, 0)

b)

(0, 4)

c)

(-1, 3)

d)

(2, 0)

67.

Write an equation
m = 5 through (-1, -3)

a)

y = 5x + 2

b)

y = -5x - 5

c)

y = -5x + 2

d)

y = 2x - 5

68.

Graph the table given.

69.

Graph the table given.

70.

Note: Multiply each value on the y axis by 10. Ex. 4 becomes 40, 8/80, etc.

71.

Which graph represents the equation y = 4x - 3?

a)

b)

c)

d)

72.

Graph the line that goes through the point (-2,-4)

and has a slope of $\frac{3}{4}$ .

a)

b)

c)

d)

73.

Given the equation: $y+9=\frac{2}{5}(x-5)$ , identify the slope and point of the line.

a)

Slope: $\frac{2}{5}$

b)

Point: (5,-9)

c)

Point: (-5,-9)

d)

Point: (-5,9)

e)

Point: (5,9)

74.

Graph the line: $y+1=-\frac{1}{3}(x-2)$

a)

b)

c)

75.

Convert to slope-intercept form.

y - 3 = -2(x + 4)

a)

y = 2x - 5

b)

y = -2x - 11

c)

y = -2x - 5

d)

y = -2x + 1

76.

Convert to slope-intercept form.

$y-5=\frac{1}{3}\left(x-18\right)$

a)

$y=\frac{1}{3}x-11$

b)

$y=\frac{1}{3}x-6$

c)

$y=\frac{1}{3}x-1$

d)

$y=\frac{1}{3}x-23$

e)

$y=\frac{1}{3}x-13$

77.

A line has a slope of -6 and passes through the point (-2,3). Write the equation for the line in Slope-Intercept form.

a)

y = -6x - 16

b)

y = -6x - 20

c)

y = -6x + 16

d)

y = -6x - 9

e)

y = -6x - 15

78.

What is the equation for the line graphed here?

a)

y = 2x + 1

b)

y = -x + 1

c)

y = x + 1

d)

y = -2x + 1

79.

Find the value of y when x = 2.

a)

2

b)

6

c)

7

d)

8

80.

Find the value of y when x = 3.

a)

1

b)

2

c)

⅔

d)

10

81.

What is the y-intercept of the equation?
y = -2x + 3

a)

-2

b)

1

c)

3

d)

-3

82.

Which linear equation represents the graph?

a)

4x + 6y = 24

b)

-4x - 6y = -24

c)

-4x + 6y = 24

d)

4x - 6y = 24

83.

Which linear equation represents the graph?

a)

4x + 6y = 24

b)

-4x - 6y = -24

c)

-4x + 6y = 24

d)

4x - 6y = 24

84.

Which of the following linear equations is represented by the graph?

a)

-4x + 8y = 16

b)

-4x - 8y = 16

c)

4x + 8y = 16

d)

4x - 8y = 16

85.

a)

A

b)

B

c)

C

d)

D

86.

a)

A

b)

B

c)

C

d)

D

87.

a)

A

b)

B

c)

C

d)

D

88.

a)

A

b)

B

c)

C

d)

D

89.

a)

A

b)

B

c)

C

d)

D

90.

a)

A

b)

B

c)

C

d)

D

91.

Which line has an equation of
y= -(³/₂)x - 2?

a)

A

b)

B

c)

C

d)

D

92.

Which line has an equation of
y = -(¹/₄)x - 2?

a)

A

b)

B

c)

C

d)

D

93.

What is the slope intercept equation of line B?

a)

y = -(⁵/₄)x + 3

b)

y = -(⁴/₅)x + 3

c)

y = (⁵/₄)x + 3

d)

y=(⁴/₅)x+3

94.

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

95.

Find the x-intercept
4x + 3y = 24

a)

(6,0)

b)

(0,-6)

c)

(-8,0)

d)

(0,-8)

96.

What is the formula for standard form?

a)

y=mx+b

b)

y-y₁=m(x-x₁)

c)

Ax+By=C

d)

rise÷run

97.

what is the slope of the following 12x - 6y = 30

a)

2

b)

-2

c)

12

d)

-12

98.

Write the slope intercept form of the equation x - 3y = 6

a)

y = -x - 2

b)

y = x + 2

c)

y = 1/3x - 2

d)

y = -1/3x + 2

99.

What are the x- and y-intercepts of the linear function given by the equation 3x + 4y = -12

a)

(4, 0) and (0, -3)

b)

(-3, -4)

c)

(-4, 0) and (0, 3)

d)

(-4, 0) and (0, -3)

100.

If a line goes through the points (4, 5) and (4, 7), what type of line is it?

a)

Horizontal line

b)

Vertical line

c)

Slanted line

d)

No way to tell

101.

What is the equation of the line?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

102.

Find the slope-intercept equation

a)

y = 3x + 5

b)

y = -3x + 5

c)

y = ^-1/₃ x + 5

d)

y = ^-1/₃ x - 5

103.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

104.

Find the graph of the standard form equation: 2x - 5y = -20

a)

b)

c)

d)

105.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

106.

In a linear equation, $y=mx+b$ , if m changes, what changes in the graph?

a)

the length of the line

b)

the y-intercept

c)

the x and y axis

d)

the steepness of the slope

107.

What is the slope of the line?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

108.

Which line has a slope of 0?

a)

Line A

b)

Line B

c)

Line C

d)

Line D

109.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

110.

Which is the graph of
y = -x + 2?

a)

A

b)

B

c)

C

d)

D

111.

Write the equation in slope-intercept form:
-3y + 5x = 12

a)

y = -4 + 5x

b)

y = -4 + 5/3x

c)

y = 4 - 5/3x

d)

y = 12 + 5x

112.

Write in slope intercept form
5x - 3y = -9

a)

y = (5/3)x - 3

b)

y = (5/3)x + 9

c)

y = (5/3)x + 3

d)

y = (3/5)x + 3

113.

Slopes of perpendicular lines are...

a)

negative reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

114.

Slopes of parallel lines are...

a)

negative reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

115.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

116.

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

a)

Parallel

b)

Perpendicular

c)

Neither

117.

Use the equations given to determine if the following lines are parallel, perpendicular, neither or both.
y=4x-2
y-3=-1/4(x-8)

a)

parallel

b)

perpendicular

c)

neither parallel nor perpendicular

d)

both parallel and perpendicular

118.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

119.

Line a passes through (0, 3) and (-4, 8)

Line b passes through (0, 5) and (5,9)

Lines a and b are ?

a)

Parallel

b)

Perpendicular

c)

Neither

120.

Select ALL of the lines that are PERPENDICULAR to y = 3/4x + 9

a)

y = 3/4x - 3

b)

y = -3/4x + 9

c)

y = -4/3x + 8

d)

3y = -4x + 5

e)

4y = -3x + 7

121.

Are the following equations parallel, perpendicular or neither?
$p\left(x\right)=\frac{-2}{3}x+5\ \ and\ r\left(x\right)=\frac{3}{2}x+5$

a)

Parallel

b)

Perpendicular

c)

Neither

122.

Which of the following lines goes through the point (0, 4) and is PARALLEL to y = 5x - 3?

a)

$y=\frac{1}{5}x-3$

b)

$y=5x-7$

c)

$y=5x+4$

d)

$y=-5x-3$

123.

Write the equation of a line PERPENDICULAR to y = -1/3x + 5 and passes through the point (6,4)

a)

$y=-\frac{1}{3}x+14$

b)

$y=3x+22$

c)

$y=-\frac{1}{3}x-10$

d)

$y=3x-14$

124.

What is the equation of this line in slope-intercept form?

a)

y = 2x + 5

b)

y = -2x + 5

c)

y = -2x

d)

y = 5

125.

What is the equation of this line in slope-intercept form?

a)

y = 2x + 5

b)

y = -2x + 5

c)

y = -2x

d)

y = 5

126.

What is the slope of a line parallel to the line $-2x+y=-7$

a)

-2

b)

-1/2

c)

1/2

d)

2

127.

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

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

2

d)

-2

128.

Find the slope of the line shown.

a)

Undefined

b)

0

c)

1

d)

-1

129.

Find the slope of the line shown.

a)

$-\frac{5}{4}$

b)

$-\frac{4}{5}$

c)

$\frac{5}{4}$

d)

$\frac{4}{5}$

130.

Line a pass through the points (0, 3) & (-4, 8).

Line b passes through the points (0, 5) & (5, 9).

Lines a and b are.....

a)

parallel

b)

perpendicular

c)

neither

131.

Line a pass through the points (2, 4) & (4, 7).

Line b passes through the points (-5, 3) & (-3, 6).

Lines a and b are.....

a)

parallel

b)

perpendicular

c)

neither

Practice: Complete Coordinate Plane

Total questions: 131

Worksheet time: 11hrs 41mins

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