wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

slope-intercept, point-slope, standard form

Total questions: 37

Worksheet time: 5hrs 36mins

Name
Class
Date
1.

What is the slope of the graph of  y=16x7y=16x-7  

a)

 7-7 

b)

 167-\frac{16}{7}  

c)

 716\frac{7}{16}  

d)

 1616 

2.

What is the slope of the line represented by  6x5y=126x-5y=12  

a)

 65-\frac{6}{5}  

b)

 56\frac{5}{6}  

c)

 65\frac{6}{5}  

d)

 56-\frac{5}{6}  

3.

What is the slope of the line represented by  y4=3(x+6)y-4=-3\left(x+6\right)  

a)

 44  

b)

 3-3  

c)

 6-6  

d)

 66  

4.

What is the slope of the graph of  y=8x+23y=-8x+23  

a)

 8-8  

b)

 2323  

c)

 88  

d)

 23-23  

5.

What is the slope of the line represented by  5x9y=145x-9y=14  

a)

 55  

b)

 59\frac{5}{9}  

c)

 95\frac{9}{5}  

d)

 9-9  

6.

What is the slope of the line represented by  y+10=14(x99)y+10=14\left(x-99\right)  

a)

 1099-\frac{10}{99}  

b)

 99-99  

c)

 1010  

d)

 1414  

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
d)
y=kx
8.
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
9.
Which of these represents standard form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
10.
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)
11.
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
12.
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 + 4 = -1/4(x - 7)
d)
y - 7 = -1/4(x - 4)
13.
Write the equation in slope-intercept form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
a)
y = -1/4x + 6
b)
y = -1/4x - 6
c)
y = -1/4x - 8
d)
y = -1/4x + 8
14.
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)
15.
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)
16.
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)
17.
Write the equation in slope-intercept form for the line that contains the points
(3, -5) and (5, - 1)
a)
y = 2x + 11
b)
y = 2x + 1
c)
y = 2x - 1
d)
y = 2x - 11
18.
Find the x and y intercepts
5x - 3y = 15
a)
x intercept is 3 
y intercept is 5
b)
x intercept is -3
y intercept is 5
c)
x intercept is 5
y intercept is -3
d)
x intercept is 3
y intercept is -5
19.
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
20.
Change the following equation to slope-intercept form:
5x - 5y = 25
a)
y = x - 5
b)
y = 5x - 1
c)
y = -x + 5
d)
y = 5x + 1
21.
What is the slope intercept form of the equation
4x - 8y = 72
a)
y = -4x + 72
b)
y = -4x - 9
c)
y = 1/2x - 9
d)
y = 4x + 9
22.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
23.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
24.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
25.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
26.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
27.
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)
28.
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
29.
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
30.
Graph x+y=3
a)
A
b)
B
c)
C
d)
D
31.

Graph 2x + 4y = 4

a)
b)
c)
d)
32.

-x + 2y = 3

a)
b)
c)
d)
33.

2x - 5y = 1

a)
b)
c)
d)
34.

y = 4 + 2x

a)
b)
c)
d)
35.

y = -x - 5

a)
b)
c)
d)
36.

x + y = 4

a)
b)
c)
d)
37.

x - y = -3

a)
b)
c)
d)