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Worksheets

Forms of Linear Equations

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
2.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
x
3.
What is the y-intercept in the following equation:  y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
4.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
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.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
7.
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
8.
Write the equation below in standard form
y = 2/3 x + 5.
a)
-2/3x+y=5
b)
2x - 3y= -15
c)
-6/3x + 3y= 15
d)
-2x+3y=15
9.
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
10.
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)
11.

Which of these represents standard form of a linear equation?

a)

y - y1 = m(x - x1)

b)

Ax + By = C

c)

y = mx + b

12.
Write the equation of the line.
Slope = -4, passing through (-1, 5)
a)
y+5 = -4(x-1)
b)
y-5 = -4(x+1)
c)
y-5 = 4 (x-1)
d)
y = -4x - 9
13.
Write the following equation in slope intercept form:
y + 2 = -3(x - 5)
a)
y = -3x + 17
b)
y = -3x + 13
c)
y = -3x - 13
d)
y = -3x - 17
14.
Transform to standard form:  y=-1/2x+3
a)
1/2x+y=3
b)
x+2y=6
c)
2x+2y=6
d)
x+y=3
15.
Write the equation of the line.
Slope = -4, passing through (-1, 5)
a)
y+5 = -4(x-1)
b)
y-5 = -4(x+1)
c)
y-5 = 4 (x-1)
d)
y = -4x - 9
16.
Which equation is written in STANDARD form?
a)
y = 1/2x + 2
b)
y - 3 = -5(x + 2)
c)
7x + 2y = 9
d)
3x + 2 = y
17.

Write the equation in standard form

 2𝑦=−2𝑥−42𝑦=−2𝑥−4  

a)

 2x + 2y = −42x\ +\ 2y\ =\ -4  

b)

 x+y = −2x+y\ =\ -2  

c)

 y=−x−2y=-x-2  

d)

 2y + 2x = −42y\ +\ 2x\ =\ -4  

18.

Write the equation in standard form
 𝑦+4=12(𝑥−3)𝑦+4=\frac{1}{2}(𝑥−3)  

a)

 x−2y=10x-2y=10  

b)

 y=12x+14y=\frac{1}{2}x+\frac{1}{4}  

c)

 −x+2y=11-x+2y=11  

d)

 x+2y = 4x+2y\ =\ 4  

19.

Write the equation in standard form
 𝑦−9=−45(𝑥+2)𝑦−9=-\frac{4}{5}(𝑥+2)  

a)

 4x+5y=374x+5y=37  

b)

 −4x + 5y =30-4x\ +\ 5y\ =30  

c)

 45x+y = 375\frac{4}{5}x+y\ =\ \frac{37}{5}  

d)

 5y + 4x = 135y\ +\ 4x\ =\ 13  

20.
 Write the equation of the line that passes through the points (0, -5) and (4, 3)
a)
y=2x-5
b)
y=1/2x-5
c)
y=2x+5
d)
y=1/2x+5