Free Printable DETENTION Graphing Linear Equations Quiz

1.

What is the slope-intercept form of a linear equation?

a)

y = mx / b

b)

y = mx * b

c)

y = mx - b

d)

y = mx + b

2.

In the slope-intercept form y = mx + b, what does 'm' represent?

a)

slope

b)

y-intercept

c)

x-coordinate

d)

slope-intercept

3.

What is the point-slope form of a linear equation?

a)

y = mx + b

b)

y = x + b

c)

y - y1 = m(x - x1)

d)

y = mx

4.

In the point-slope form y - y1 = m(x - x1), what does 'm' represent?

a)

slope

b)

y-intercept

c)

x-coordinate

d)

slope-intercept

5.

How do you find the x-intercept of a linear equation?

a)

Set x=0 and solve for y.

b)

Find the slope of the line.

c)

Use the quadratic formula.

d)

Set y=0 and solve for x.

6.

How do you find the y-intercept of a linear equation?

a)

Set y=0 and solve for x.

b)

Set x=1 and solve for y.

c)

Set x=0 and solve for y.

d)

Count the number of points on the line.

7.

What does the slope of a line indicate about the line?

a)

It indicates the color of the line.

b)

It indicates the length of the line.

c)

It indicates the temperature of the line.

d)

It indicates the steepness or incline of the line.

8.

If a line has a positive slope, how does it appear on a graph?

a)

Horizontal

b)

Upward slanting

c)

Downward slanting

d)

Curved

9.

If a line has a negative slope, how does it appear on a graph?

a)

Downward sloping

b)

Horizontal

c)

Curved

d)

Upward sloping

10.

What is the relationship between the slope and the steepness of a line?

a)

The slope of a line represents the steepness of the line.

b)

The slope of a line has no relationship to the steepness

c)

The slope of a line is inversely related to the steepness

d)

The slope of a line represents the length of the line

11.

Which graph represents $y=-\frac{3}{2}x+4$

a)

b)

c)

d)

12.

Which graph represents $2x-5y=-10$

a)

b)

c)

d)

13.

Which graph represents the table?

a)

b)

c)

d)

14.

Which graph represents the equation $y=4x-1$

a)

b)

c)

d)

15.

Which graph represents the equation $x+5y=5$

a)

b)

c)

d)

16.

Which graph represents the table?

a)

b)

c)

d)

17.

Which graph represents the equation $y=-3x$

a)

b)

c)

d)

18.

Which graph represents $y=\frac{1}{2}x+2$

a)

b)

c)

d)

19.

Which graph represents the table?

a)

b)

c)

d)

20.

What is the x-intercept of $5x-10y=30$

a)

x = -10

b)

x = -6

c)

x = 6

d)

x = 3

21.

What is the y-intercept of $8x+4y=-48$

a)

y = 6

b)

y = -6

c)

y = 12

d)

y = - 12

22.

What is the slope of the following equation:

y=\frac{2}{3}x-5

a)

$\frac{2}{3}$

b)

$5$

c)

$-5$

d)

$2$

23.

What is the y-intercept of the following equation:

$y=x-4$

a)

1

b)

-1

c)

4

d)

-4

24.

What is the slope of the following equation:

$y=-3x$

a)

$\frac{1}{3}$

b)

$-\frac{1}{3}$

c)

$3$

d)

$-3$

25.

What is the y-intercept of the following equation:

$y=x$

a)

1

b)

0

c)

-1

d)

x

26.

What is the slope of the following equation:

$y=\frac{x}{8}-3$

a)

$-3$

b)

$3$

c)

$\frac{1}{8}$

d)

$8$

27.

Which graph represents $y=-\frac{3}{2}x+4$

a)

b)

c)

d)

28.

Which graph represents $2x-5y=-10$

a)

b)

c)

d)

29.

Which graph represents the table?

a)

b)

c)

d)

30.

Which graph represents the equation $y=4x-1$

a)

b)

c)

d)

31.

Which graph represents the equation $x+5y=5$

a)

b)

c)

d)

32.

Which graph represents the table?

a)

b)

c)

d)

33.

Which graph represents the equation $y=-3x$

a)

b)

c)

d)

34.

Which graph represents $y=\frac{1}{2}x+2$

a)

b)

c)

d)

35.

Which graph represents the table?

a)

b)

c)

d)

36.

What is the x-intercept of $5x-10y=30$

a)

x = -10

b)

x = -6

c)

x = 6

d)

x = 3

37.

What is the y-intercept of $8x+4y=-48$

a)

y = 6

b)

y = -6

c)

y = 12

d)

y = - 12

38.

What is the slope of the following equation:

y=\frac{2}{3}x-5

a)

$\frac{2}{3}$

b)

$5$

c)

$-5$

d)

$2$

39.

What is the y-intercept of the following equation:

$y=x-4$

a)

1

b)

-1

c)

4

d)

-4

40.

What is the slope of the following equation:

$y=-3x$

a)

$\frac{1}{3}$

b)

$-\frac{1}{3}$

c)

$3$

d)

$-3$

41.

What is the y-intercept of the following equation:

$y=x$

a)

1

b)

0

c)

-1

d)

x

42.

What is the slope of the following equation:

$y=\frac{x}{8}-3$

a)

$-3$

b)

$3$

c)

$\frac{1}{8}$

d)

$8$

43.

Sketch the graph of a line with

x-intercept = -3

y-intercept = 2

a)

b)

c)

d)

44.

Sketch the graph of a line with

x-intercept = -5

y-intercept = 1

a)

b)

c)

d)

45.

Sketch the graph of a line with

x-intercept = 1

y-intercept = 3

a)

b)

c)

d)

46.

Sketch the graph of a line with

x-intercept = -4

y-intercept = -4

a)

b)

c)

d)

47.

$3x+2y=8$

a)

b)

c)

d)

48.

$3x+4y=0$

a)

b)

c)

d)

49.

$x-y=4$

a)

b)

c)

d)

50.

$4x-5y=-15$

a)

b)

c)

d)

51.

$10x+y=-5$

a)

b)

c)

d)

52.

$2x-y=-5$

a)

b)

c)

d)

53.

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

a)

b)

c)

d)

54.

$y=2x-5$

a)

b)

c)

d)

55.

$y=-\frac{1}{2}x+5$

a)

b)

c)

d)

56.

$y=\frac{6}{5}x-1$

a)

b)

c)

d)

57.

$y=-\frac{7}{2}x+5$

a)

b)

c)

d)

58.

$y=-9x-4$

a)

b)

c)

d)

59.

$y=-4x+2$

a)

b)

c)

d)

60.

$y=-\frac{2}{3}x-1$

a)

b)

c)

d)

61.

$y=-\frac{3}{2}x-1$

a)

b)

c)

d)

62.

$y=-7x+4$

a)

b)

c)

d)

63.

The point where the line crosses the y-axis is called the:

a)

origin

b)

x-intercept

c)

y-intercept

d)

slope

64.

_{What is the y-intercept of the line?}

a)

y = 1/2

b)

y = 1

c)

y = -1/2

d)

y = -1

65.

^{What is the x- intercept of the line?}

a)

x = 1

b)

x = 2

c)

x = -1

d)

x = -2

66.

Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

a)

(8,10)

b)

8, 3, 0, 4, 9

c)

(0,8)

d)

(9,0)

67.

In the following equation, what is the y-intercept?
y = -3x + 7

a)

-3

b)

7

c)

-3/7

d)

3

68.

What is the y-intercept of the line graphed below?

a)

3

b)

4

c)

-3

d)

4/3

69.

Identify the y-intercept for the function:
y=-3x

a)

-3

b)

0

c)

1

d)

-1

70.

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

a)

(6, 0)

b)

(0, 4)

c)

(-1, 3)

d)

(2, 0)

71.

What letter represents the slope in the equation y = mx + b ?

a)

x

b)

y

c)

m

d)

b

72.

What is the slope in the equation: y=4x+3

a)

3

b)

4x

c)

4

d)

x

73.

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

74.

Find the slope.

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

75.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

76.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

77.

Find the slope of the line.

a)

3/2

b)

2/3

c)

-3/2

d)

-2/3

78.

What is the y-intercept of the line graphed below?

a)

3

b)

4

c)

-3

d)

4/3

79.

Graph. y = -4

a)

a

b)

b

c)

c

d)

d

80.

Graph. x = 1

a)

a

b)

b

c)

c

d)

d

81.

What direction is an undefined slope?

a)

horizontal

b)

vertical

82.

What is the equation of the line?

a)

y=3x

b)

y=3

c)

x=3

d)

y=-3

83.

Which equation is in POINT-SLOPE form?

a)

$y\ =\ 4x-3$

b)

$8x-y=-3$

c)

$x\ =\ 12y-1$

d)

$y\ -\ 6\ =\ \frac{-4}{3}\left(x+1\right)$

84.

Which equation is in STANDARD form?

a)

$y\ =\ 4x-3$

b)

$8x-y=-3$

c)

$x\ =\ 12y\ -1$

d)

$y\ -\ 6\ =\ \frac{-4}{3}\left(x+1\right)$

85.

Which equation is in SLOPE-INTERCEPT form?

a)

$y\ =\ 4x-3$

b)

$8x-y=-3$

c)

$x\ =\ 12y\ -1$

d)

$y\ -\ 6\ =\ \frac{-4}{3}\left(x+1\right)$

86.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

87.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

88.

What type of slope?

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

89.

What type of slope?

a)

Undefined

b)

Positive

c)

Negative

d)

Zero

90.

What is the Y-INTERCEPT of the graph? ?

a)

$\left(3,\ 0\right)$

b)

$\left(0,\ -4\right)$

c)

$\left(6\ ,\ 4\right)$

d)

$\left(0,\ \frac{4}{3}\right)$

91.

What is the X-INTERCEPT of the graph? ?

a)

$\left(3,\ 0\right)$

b)

$\left(0,\ -4\right)$

c)

$\left(6\ ,\ 4\right)$

d)

$\left(\ \frac{4}{3},\ 0\right)$

92.

Which graph below belongs to a linear function?

a)

b)

c)

d)

93.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 3

y-intercept:

(3/2, 0)

b)

slope: 3/2

y-intercept:

(0,3)

c)

slope: 3

y-intercept:

(0,3/2)

d)

slope: 3/2

y-intercept:

(0,5)

94.

Find the slope of the line.

a)

-5/7

b)

7/5

c)

-7/5

d)

5/7

95.

Find the slope of the line.

a)

-2/3

b)

3/2

c)

-3/2

d)

2/3

96.

Write the equation of a line with a slope of -3 and y intercept of 8

a)

x = 8

b)

y = -3

c)

y = 8x -3

d)

y = -3x + 8

97.

What is the equation of the line?

a)

y = -3/4x + 3

b)

y = 4/5x + 3

c)

y = -4/5x + 3

d)

y = -4/5x

98.

Name the x- and y-intercepts for the equation: 5x - 3y = 15

(Show work on paper and turn in)

a)

(3, 0) and (0, -5)

b)

(0, 3) and (-5, 0)

c)

(5, 15) and (15, 3)

d)

(0, -3) and (5, 0)

99.

Write in SLOPE-INTERCEPT form: 5x - 3y = -9

(Show work on paper and turn in)

a)

y = (5/3)x - 3

b)

y = (5/3)x + 14

c)

y = (5/3)x + 3

d)

y = (3/5)x + 3

100.

Determine the slope and y-intercept from the following equation: 4x + y = -10

(Show work on paper and turn in)

a)

slope: 4 y-intercept: (0,10)

b)

slope: -4 y-intercept: (0,-10)

c)

slope: -4 y-intercept: (0,10)

d)

slope: 4 y-intercept: (0,-10)

101.

Write the equation in POINT-SLOPE form of the line that passes through the point (4, -7) and has a slope of -1/4,

a)

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

b)

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

c)

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

d)

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

102.

Identify the slope and the coordinate the following equation passes through: y + 8=2(x - 1)

a)

m:2 (1,-8)

b)

m:2 (8, -1)

c)

m: 2 (-8, 1)

d)

m: 2 (-1,8)

103.

Write the equation in POINT-SLOPE form of the line that passes through point

(-2, -1) and has a slope of m= -3.

a)

y - 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 2 = 3(x - 1)

d)

y + 2 = -3(x + 1)

104.

Which of the following is the equation of the line that has a slope of 3 and passes through the point (-1, 9)? (Show work on paper and turn in)

a)

y = 3x + 10

b)

y = 3x - 8

c)

y = 3x + 12

d)

y = 3x - 6

105.

Which of the following is the equation of the line that contains the points (-2 , 3) and (0, 2)? (Show work on paper and turn in)

a)

y = -2x + 1

b)

y = 1/2x - 2

c)

y = 2x - 1

d)

y = -1/2x + 2

106.

Which graph represents 2x + 4y = 12?

a)

b)

c)

d)

107.

What is the slope in the equation: y = 4x + 3

a)

3

b)

4x

c)

4

d)

x

108.

What is the y-intercept in the following equation: y = -4x - 5

a)

-4

b)

-4x

c)

5

d)

-5

109.

When you graph a line using slope-intercept form (y = mx + b), you graph the ___________ first and then use the ___________ to find the second point.

a)

origin; slope

b)

slope; y-intercept

c)

y-intercept; x-intercept

d)

y-intercept; slope

110.

Which graph represents 2x + 4y = 12?

a)

b)

c)

d)

111.

Which equation is being represented by this line?

a)

y = -1x + 2

b)

y = 1/2x + 2

c)

y = 3x -4

d)

y = -3x +2

112.

Find the x and y intercepts
4x - 5y = 40

a)

x intercept is 10
y intercept is 8

b)

x intercept is 10
y intercept is 20

c)

x intercept is 8
y intercept is 10

d)

x intercept is 10
y intercept is -8

113.

Which equation best represents the line on the graph?

a)

y = 1/2x

b)

y = -1/2x

c)

y = 2x

d)

y = -2x

114.

Find the slope of the line.

a)

3/2

b)

-43/2

c)

2

d)

-2

115.

Graph

a)

b)

c)

d)

116.

Select the line with the equation:

y = 2x + 2

a)

b)

c)

d)

117.

Write the equation that best matches the graph shown.

118.

Write the equation with a slope of -3 and a y-intercept of (0, 4).

119.

Jenny writes the equation $y=\frac{1}{2}x+5$ . Why is she incorrect?

a)

The slope is -2, the equation should be y = -2x + 5

b)

The y-intercept is 4, the equation should be y = -2x + 4

c)

The slope is -1/2, the equation should be y = -1/2x + 5

d)

The y-intercept is -5, the equation should be y = -2x - 5

120.

Graph the equation $4x-2y=-8$

121.

Write an equation in slope-intercept form that passes through the points (-3, -3) and (0, -5).

122.

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

123.

Write the equation of the line in slope-intercept form with slope 4 that goes through the point (-2, 5).

124.

Write the equation given in slope-intercept form:

-3y + 5x = 12.

125.

What is the x and y intercept for the following equation ? 4x - 10y = 20.

a)

x-int = (0 , 5)

y-int = (-2, 0)

b)

x-int =(0 , -2)

y-int = (5, 0)

c)

x-int = ( 5 , 0)

y-int = (0 , -2)

d)

x-int = (-2 , 0)

y-int = (0, 5)

126.

Write the equation of the line that represents this graph.

127.

Write the equation of the line that represents this graph.

128.

Write an equation of the line that passes through (3,1) and is parallel to the line y = 3x + 1.

129.

What is the equation of a line that is perpendicular to the line
y = 3x - 6 and passes through the point (15,5).

130.

Given the following table, write the linear equation.

131.

Write an equation in standard form of the line that passes through the point (1, 4) and has a slope of $\frac{3}{2}$ .

132.

Graph the line whose slope is m = ⅔ and has a y-intercept at (0, -2).

133.

Graph a line that passes through (-1, -3) and has a slope of ⅔.

134.

Graph the line y = 3x -1.

135.

Graph the line y = -2x + 3.

136.

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

137.

Graph the line y = $\frac{3}{2}$ x - 3.

138.

Match the lines with their equations

a)

1.

x= -1

b)

2.

y= 3x-1

c)

3.

y= -2x+3

d)

4.

y= -3

139.

Graph the line x = -1. What is the slope of this line? _________ What is the y-intercept? ______________

4 lines

140.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(3, 0)

c)

(0, 3)

d)

None of these.

141.

Which y - intercept and slope applies to the graph?

a)

y - intercept = 2, slope = 2

b)

y - intercept = -2, slope = 1/2

c)

y - intercept = -2, slope = 2

d)

y - intercept = 1, slope = 2

DETENTION Graphing Linear Equations Quiz

Total questions: 141

Worksheet time: 8hrs 11mins

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