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Slope-Intercept Practice and Point- Slope Practice

Total questions: 61

Worksheet time: 4hrs 33mins

Name
Class
Date
1.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
beans
c)
nothing
d)
slope
2.

Which statement best describes "m"?

a)

x- intercept

b)

y - intercept

c)

slope

d)

tasty

3.
Write the equation of a line in slope intercept form.
m = 1/2
b = 6
a)
y = 1/2x + 6
b)
y = 6x + 1/2
4.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
5.
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
6.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
7.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
8.
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
9.

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  

10.

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  

11.

Write the equation of the graph in slope-intercept form

a)

y=2x4y=-2x-4

b)

y=2x 4y=2x\ -\ 4

c)

y=12x4y=\frac{1}{2}x-4

d)

y=12x4y=-\frac{1}{2}x-4

12.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
13.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
14.
Name the y intercept
a)
-1
b)
7
c)
-1x
d)
-7
15.
Name the slope
a)
3
b)
1
c)
-1x
d)
-1
16.
Name the y intercept
a)
4
b)
-1
c)
1
d)
-4
17.
Name the slope
a)
3
b)
Zero slope
c)
Undefined
d)
1
18.
Name the slope
a)
Negative
b)
0 Slope
c)
Undefined
d)
Positive
19.
Name the slope
a)
7/1
b)
3/4
c)
-3/4
d)
-7/1
20.
Name the slope
a)
2
b)
-2
c)
1/2
d)
1/2x
21.
Name the equation that is represented by the graph.
a)
y=2x+4
b)
y=-2x+4
c)
y=2x-4
d)
y=-2x-4
22.
Write the equation of the line.
a)
y=(3/5)x+1
b)
y=(3/5)x-1
c)
y=(5/3)x+1
d)
y=(3/5)x+1
23.
Name the slope.
a)
Zero slope
b)
1
c)
Undefined
d)
-1
24.
Determine the slope and y-intercept.   y = 3/2x + 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) 
25.

What is the equation of the red graph pictured?

a)

y = -4

b)

x = -4

c)

y = 4

d)

x = 4

26.
What is the equation of the line?
a)
y = 0
b)
y = 1
c)
y = 2
d)
x = 1
27.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=(1/4)x+3
d)
y= -4x+3
28.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
29.
Which line has a negative slope?
a)
Yellow
b)
Red
c)
Blue
d)
Green
30.
What line has the steepest slope?
a)
All slopes are equal
b)
Red
c)
Blue
d)
Green
31.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
32.
What is the y-intercept of the line graphed below?
a)
3
3
b)
4
c)
-3
d)
4/3
33.
What is the equation of this line?
a)
x=5
b)
y=5
c)
y=5x
d)
x=-5
34.

What is the equation of the red graph pictured?

a)

y = 3

b)

x = 3

c)

y = -3

d)

x = -3

35.

Does the following equation represent a vertical line, a horizontal line, or neither?


x = 4

a)

vertical

b)

horizontal

c)

neither

36.

What is the equation of the line in the graph?

a)

x = −1

b)

y = −1

c)

y = −1x

d)

y = x − 1

37.

Does the following equation represent a vertical line, a horizontal line, or neither?


y = −3

a)

vertical

b)

horizontal

c)

neither

38.

What is the equation of the graphed line?

a)

y = 3

b)

y = 3x

c)

x = 3

d)

x = 3y

39.

Which is the correct graph for x = −4?

a)

A

b)

B

c)

C

d)

D

40.

Which is the correct graph for y = 3?

a)

A

b)

B

c)

C

d)

D

41.
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
42.
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)
43.
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
44.
a)
y= 3/4 x + 3
b)
y= 1/2 x +3
c)
y= 2x+3
d)
y=2x-7
45.

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)

46.

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

47.

Given the graph, what is the equation of the line in point slope form?

a)

y - 20 = ½(x - 4)

b)

y - 20 = 5(x - 4)

c)

y + 20= 5(x + 4)

d)

y - 20 = 1(x - 4)

48.
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)
49.
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
50.
What is the y-intercept for the given graph?
a)
-5
b)
5
c)
1
d)
-1
51.
For the equation 
y - 3 = 2(x + 4), 
what is the ordered pair?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
52.
Which of the following equations written in slope-intercept form is equivalent to the equation:
y - 3 = 0.5(x + 4)
a)
y = 0.5x + 7
b)
y = 0.5x - 1
c)
y = 0.5x + 5
d)
y = 0.5x - 4
53.

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

54.
Which line is the steepest?
a)
1st
b)
2nd
c)
3rd
d)
They are all the same steepness
55.

Which line is the steepest?

a)

1st

b)

2nd

c)

3rd

d)

All are the same steepness

56.
Write the equation of a line parallel to the one pictured through the point (3,1) in point slope form.
(HINT: PARALLEL LINES HAVE THE SAME SLOPE)
a)
y - 1 = 1/2(x - 3)
b)
y + 1 = 1/2(x + 3)
c)
y - 1 = - 1/2(x - 1)
d)
y + 1 = - 1/2(x + 3)
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.

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)

59.

Graph the equation: y + 1 = 3 (x – 2)

a)
b)
c)
d)
60.

Graph the equation: y – 3 = –2(x + 4)

a)
b)
c)
d)
61.

Graph the equation: y – 4 = –1(x + 2)

a)
b)
c)
d)