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Worksheets

Point Slope/Slope Test

Total questions: 125

Worksheet time: 11hrs 10mins

Name
Class
Date
1.

Graph y=4x−2

2.

Graph y= 83-\frac{8}{3} x+5

3.

Graph y=−2x−6

4.

The following graph shows a (a)   slope. ​

Choose from the below words
undefined
0
positive
negative
5.

The following gra​ph shows a ​ (a)   slope. ​

Choose from the below words
0
positive
negative
undefined
6.



(a)  

7.
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
8.

Select all of the following equations in point-slope form.

a)

y - 2 = 5(x - 2)

b)

3x + 2y = 12

c)

y + 2 = 1/4(x + 4)

d)

y = 4x + 6

e)

2y = 5x - 7

9.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

10.

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

a)

y - 6 = -3(x - 1)

b)

y + 6 = -3(x + 1)

c)

y - 1 = -3(x - 6)

d)

y + 1 = -3(x + 3)

11.

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

a)

y = -3x - 23

b)

y = -3x - 13

c)

y = -3x - 11

d)

y = -3x + 13

12.

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

a)

-1

b)

1

c)

-3

d)

5

13.
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)
14.

What is the point slope form equation of the graph given(use blue point in equation)

a)

y + 2 = 32\frac{3}{2} (x + 2)

b)

y - 2 = 32\frac{3}{2} (x - 2)

c)

y + 2 = - 32\frac{3}{2} (x + 2)

d)

y - 2= - 32\frac{3}{2} (x - 2)

15.

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 + 7 = 4(x - 4)

d)

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

16.

Convert the equation of the line

y - 2 = 9(x + 1)

into slope intercept form.

a)

y = 9x + 11

b)

y = 9x + 7

c)

y = 9x + 3

d)

y = 9x + 13

17.
For the equation
y - 3 = 2(x + 4),
which of the following is true?
a)
The line has m = 2 passing through the point (4, -3)
b)
The line has m = 2 passing through the point (3, -4)
c)
The line has m = 2 passing through the point (-4, 3)
d)
The line has m = 2 passing through the point (-3, 4)
18.

Which point-slope equation matches the graph?

a)

y4=32(x2)y-4=\frac{3}{2}\left(x-2\right)  

b)

y2=32(x4)y-2=\frac{3}{2}\left(x-4\right)  

c)

y+2=23(x+4)y+2=\frac{2}{3}\left(x+4\right)  

d)

y+4=23(x+2)y+4=\frac{2}{3}\left(x+2\right)  

19.

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

a)

y = -3x - 23

b)

y = -3x -13

c)

y = -3x - 11

d)

y = -3x+13

20.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
21.
Which is NOT a correct point-slope equation for the line in #14?
a)
y - 0 = 1/2(x + 2)
b)
y - 1 = 1/2(x - 0)
c)
y + 2 = 1/2(x + 2) 
d)
y - 2 = 1/2(x - 2)
22.

Which point-slope equation matches the graph?

a)

y1=12(x+1)y-1=-\frac{1}{2}\left(x+1\right)  

b)

y+1=12(x1)y+1=-\frac{1}{2}\left(x-1\right)  

c)

y1=2(x+1)y-1=-2\left(x+1\right)  

d)

y+1=2(x1)y+1=-2\left(x-1\right)  

23.
For the equation 
y - 4 = -1/3(x - 7), 
what are the coordinates for the point?
a)
(4, 7)
b)
(-7, - 4)
c)
(7, 4)
d)
(-4, -7)
24.

What is the slope of the following equation?


y4=(x+2)y-4=-\left(x+2\right)  

a)

1

b)

-1

c)

2

d)

-4

25.

Which is NOT a correct point-slope equation for the line?

a)

y - 0 = 1/2(x + 2)

b)

y - 1 = 1/2(x - 0)

c)

y + 2 = 1/2(x + 2)

d)

y - 2 = 1/2(x - 2)

26.

What is the point slope form equation for the given line?(Use blue point for formula)

a)

y + 3 = 3 (x + 4)

b)

y + 4 = -3 (x + 3)

c)

y - 4 = 3 (x - 3)

d)

y + 4 = 3 (x + 3)

27.

Graph y=7/4​x+1

28.

Graph y=x

29.

Graph y=3x−2

30.

Graph y=−1x

31.

Slope Intercept Through: (3, - 1), slope =-2

(a)  

32.

Through: (2,-4), slope = 1/4

Slope Intercept Form

(a)  

33.

Slope Intercept Through: (2,1) and (3.1)

(a)  

34.

Slope Intercept Through: (-1,1), slope=-6

(a)  

35.

Slope Intercept Through: (3, -1) and (-1, -1)

(a)  

36.

Through: (-2,4), slope =-1 Slope Intercept Form

(a)  

37.

Slope Intercept Through: (-1,-1) and (0,5)

(a)  

38.

Slope Intercept Through: (0,5) and (-2,2)

(a)  

39.

Slope Intercept Through: (-5,0), slope=4/5

(a)  

40.

Slope Intercept Through: (1,2), slope =-3/2

(a)  

41.

The line with the equation

y+1=3(x5)y+1=-3(x-5) ,

and has a slope of ​ (a)  

Choose from the below words

3-3  

33  

11  

5-5  

42.

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

and has a slope of  34\frac{3}{4}

a)
b)
c)
d)
43.

Graph the line:  y+1=13(x2)y+1=-\frac{1}{3}(x-2)  

a)
b)
c)
44.

What is the point slope form equation of the graph given(use blue point in equation)

a)

y + 2 = 32\frac{3}{2} (x + 2)

b)

y - 2 = 32\frac{3}{2} (x - 2)

c)

y + 2 = - 32\frac{3}{2} (x + 2)

d)

y - 2= - 32\frac{3}{2} (x - 2)

45.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
46.

m= 5


(2, 4)

a)

y - 2= 5(x - 4)

b)

y - 4= 5(x - 2)

c)

y- 5 = 4(x - 2)

d)

y - 2 = 4(x - 5)

47.

m= 3


(1, 7)

a)

y - 7 = 3( x - 1)

b)

y - 1 = 3( x - 7)

c)

y - 3 = 3( x - 1)

d)

y - 1 = 7( x - 3)

48.
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
49.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:

(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

50.

The line with the equation

y+1=3(x5)y+1=-3(x-5) ,

and has a slope of ​ (a)  

Choose from the below words

3-3  

33  

11  

5-5  

51.

The line with the equation

y+1=3(x5)y+1=-3(x-5) ,

contains the point ​ ​

a)

(5,1)\left(5,-1\right)  

b)

(5,1)\left(-5,1\right)  

c)

(5,1)\left(5,1\right)  

d)

(1,5)\left(1,5\right)  

52.

Select the equation represents a line with a slope of 2

that passes through the point (9,6)\left(9,-6\right)

a)

y+6=2(x9)y+6=2\left(x-9\right)

b)

y6=2(x+9)y-6=2\left(x+9\right)

c)

y6=2(x9)y-6=2\left(x-9\right)

d)

y+6=2(x+9)y+6=2\left(x+9\right)

53.

The line with the equation

y2=4(x+8)y-2=4(x+8) ,

contains the point ​ ​

a)

(8,2)\left(-8,2\right)  

b)

(8,2)\left(8,2\right)  

c)

(8,2)\left(8,-2\right)  

d)

(2,8)\left(-2,8\right)

54.

The line with the equation

y2=4(x+8)y-2=4(x+8) ,

has a slope of ​:

a)

 8

b)

 4

c)

-2 

55.

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

and has a slope of  34\frac{3}{4}

a)
b)
c)
d)
56.

Graph the line:  y+1=13(x2)y+1=-\frac{1}{3}(x-2)  

a)
b)
c)
57.

What is the point slope form equation of the graph given(use blue point in equation)

a)

y + 2 = 32\frac{3}{2} (x + 2)

b)

y - 2 = 32\frac{3}{2} (x - 2)

c)

y + 2 = - 32\frac{3}{2} (x + 2)

d)

y - 2= - 32\frac{3}{2} (x - 2)

58.

Which point-slope equation matches the graph?

a)

y4=32(x2)y-4=\frac{3}{2}\left(x-2\right)  

b)

y2=32(x4)y-2=\frac{3}{2}\left(x-4\right)  

c)

y+2=23(x+4)y+2=\frac{2}{3}\left(x+4\right)  

d)

y+4=23(x+2)y+4=\frac{2}{3}\left(x+2\right)  

59.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
60.

Which point-slope equation matches the graph?

a)

y1=12(x+1)y-1=-\frac{1}{2}\left(x+1\right)  

b)

y+1=12(x1)y+1=-\frac{1}{2}\left(x-1\right)  

c)

y1=2(x+1)y-1=-2\left(x+1\right)  

d)

y+1=2(x1)y+1=-2\left(x-1\right)  

61.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
62.
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
63.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
64.
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
65.

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

a)

2-2  

b)

22  

c)

44  

d)

4-4  

66.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
67.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
68.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
69.

What is the slope of the line with the equation
y = 32x + 4y\ =\ -\frac{3}{2}x\ +\ 4  

a)

32-\frac{3}{2}  

b)

32\frac{3}{2}  

c)

44  

d)

4-4  

70.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
71.

Graph the line with the equation
y = 23x + 4y\ =\ -\frac{2}{3}x\ +\ 4  

a)
b)
c)
d)
72.

Graph the line with the equation
y = 13x  4y\ =\ -\frac{1}{3}x\ -\ 4  

a)
b)
c)
d)
73.

Write the equation for the line.

a)

y= -1x+3

b)

y= 4x+3

c)

y=(1/4)x+3

d)

y= -4x+3

74.

Write the equation in slope intercept form of a line that passes through the given pair of points: (-2, -3), (4, 3)

a)

y =x + 1

b)

y = x - 1

c)

y = -x + 1

d)

y = -x - 1

75.
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
76.
Find the y-intercept of the line that passes through the given  pair of points:  (-2, -3), (4, 3)
a)
b = 3
b)
b = 2
c)
b = 1
d)
b = -1
77.

Determine the slope and y-intercept of the line

y=32x+3y=\frac{3}{2}x+3  

a)

slope: 5 y-intercept: (0,3) 

b)

slope: 3/2 y-intercept: (0,3) 

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5) 

78.

Find the slope of the line that passes through points

(1, -19) and (-2, -7)

a)

-4

b)

4

c)

1/4

d)

-1/4

79.
Find the slope of the line that passes through (10, -8) and (1, 12).
a)
20/9
b)
-20/9
c)
4/9
d)
9/4
80.

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

81.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
82.
Determine the slope.
a)
m=3/2
b)
m=6
c)
m=-3/2
d)
m=1/6
83.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
84.
Find the slope between the two points.
(3, 7) and (-4, 2)
a)
7/5
b)
5/7
c)
2/3
d)
2
85.
The _____ is the point where the x- and y-axis intersect.
a)
quadrant
b)
x-axis
c)
y-axis
d)
origin
86.
What is the slope of the line?
a)
2/4
2/4
b)
1/2
c)
4/2
d)
2/1
87.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2/1
d)
-2/1
88.
What point does this line pass through?
y-2=4/5(x-3)
a)
(4/5)
b)
(2,3)
c)
(3,2)
d)
(-3,-2)
89.

Find the slope.

a)

Undefined

b)

m = -8

c)

m = -1/2

d)

m = 0

90.

Find the slope.

a)

m = 5/3

b)

m = 3/5

c)

m = 4/7

d)

m = 7/4

91.

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

a)

-1

b)

1

c)

-3

d)

5

92.

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 + 7 = 4(x - 4)

d)

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

93.

Write the equation of the line

in Point-Slope form that goes through

the point (10, 5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

94.

Convert the equation of the line

y - 2 = 9(x + 1)

into slope intercept form.

a)

y = 9x + 11

b)

y = 9x + 7

c)

y = 9x + 3

d)

y = 9x + 13

95.

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

96.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

97.
For the equation
y - 3 = 2(x + 4),
which of the following is true?
a)
The line has m = 2 passing through the point (4, -3)
b)
The line has m = 2 passing through the point (3, -4)
c)
The line has m = 2 passing through the point (-4, 3)
d)
The line has m = 2 passing through the point (-3, 4)
98.

Which point-slope equation matches the graph?

a)

y4=32(x2)y-4=\frac{3}{2}\left(x-2\right)  

b)

y2=32(x4)y-2=\frac{3}{2}\left(x-4\right)  

c)

y+2=23(x+4)y+2=\frac{2}{3}\left(x+4\right)  

d)

y+4=23(x+2)y+4=\frac{2}{3}\left(x+2\right)  

99.

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

a)

y = -3x - 23

b)

y = -3x -13

c)

y = -3x - 11

d)

y = -3x+13

100.
Which of these represents slope-intercept form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
101.
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)
102.
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)
103.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
104.
Which is NOT a correct point-slope equation for the line in #14?
a)
y - 0 = 1/2(x + 2)
b)
y - 1 = 1/2(x - 0)
c)
y + 2 = 1/2(x + 2) 
d)
y - 2 = 1/2(x - 2)
105.

Which point-slope equation matches the graph?

a)

y1=12(x+1)y-1=-\frac{1}{2}\left(x+1\right)  

b)

y+1=12(x1)y+1=-\frac{1}{2}\left(x-1\right)  

c)

y1=2(x+1)y-1=-2\left(x+1\right)  

d)

y+1=2(x1)y+1=-2\left(x-1\right)  

106.

Write the point-slope form of the equation of the line through the given point with the given slope.


through: (4, 1), slope = -1

a)

y - 4 = x - 1

b)

None of these

c)

y - 1 = -(x + 4)

d)

y - 1 = -(x - 4)

107.

Write the equation of the line with slope -2 through the point (7, −1).

a)

y = −2x + 15

b)

y = −2x − 15

c)

y = −2x + 13

d)

y = −2x − 13

108.

Write the equation of the line with slope 3/5 through the point (20, 6).

a)

y = 3/5x − 6

b)

y = 3/5x +18

c)

y = 3/5x − 18

d)

y = 3/5x + 6

109.

Write the equation of the line through the points (−6, −19) and (2, 5).

a)

y = −7/2x + 12

b)

y = 3x + 11

c)

y = −7/2x − 40

d)

y = 3x − 1

110.

Write the equation of the line through the points (7, 8) and (−12, −11).

a)

y = x + 1

b)

y = x + 15

c)

y = −x − 1

d)

y = −x − 23

111.
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
a)
y + 7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y + 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
112.
Write an equation  
m = 5 through (-1, -3)
a)
y = 5x + 2
b)
y = -5x - 5
c)
y = -5x + 2
d)
y = 2x - 5
113.

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

a)

y = -3x - 23

b)

y = -3x -13

c)

y = -3x - 11

d)

y = -3x+13

114.
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)
115.
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3
a)
y + 1 = -3(x - 2)
b)
y + 1 = -3(x + 2)
c)
y - 1 = 3(x - 1)
d)
y + 2 = -3(x + 1)
116.
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)
117.

Level 3: Write the equation of the line in Point-Slope Form.

a)

y=-3/4(x-2)

b)

y-2=3/5(x-5)

c)

y=3/5x-1

d)

y-5=3/5(x-2)

118.

Level 4: Which is NOT a correct point-slope equation for the line?

a)

y - 0 = 1/2(x + 2)

b)

y - 1 = 1/2(x - 0)

c)

y + 2 = 1/2(x + 2)

d)

y - 2 = 1/2(x - 2)

119.

Write the equation of the line in slope intercept form with f(5)=7 and f(-2)=0

a)

y= -x -2

b)

y = x -2

c)

y = x + 2

d)

y = -x +2

120.

Write the equation of the line in slope intercept form with f(2)=-2 and f(1)=1

a)

y= -3x - 4

b)

y = -3x + 4

c)

y = 3x - 2

d)

y = 3x + 2

121.
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
122.

Write the equation of a line with slope m = 3 that goes through the point (1,-5)

in point - slope form

a)

y5=3(x+1)y-5=3\left(x+1\right)  

b)

y+5=3(x1)y+5=3\left(x-1\right)  

c)

y3=5(x+1)y-3=-5\left(x+1\right)  

d)

y1=3(x+5)y-1=3\left(x+5\right)  

123.

m=1/2 (-2 , 1)

y- _____ = _____ (x- _____)

a)

y1=12(x(2))y-1=\frac{1}{2}\left(x-\left(-2\right)\right)  

b)

y+1=2(x12)y+1=2\left(x-\frac{1}{2}\right)  

c)

y+2=12(x1)y+2=\frac{1}{2}\left(x-1\right)  

d)

y+1=12(x2)y+1=\frac{1}{2}\left(x-2\right)  

124.
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
125.
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
a)
y +7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y+ 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)