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Worksheets

Linear Equations and their Graphs

Total questions: 25

Worksheet time: 26mins

Name
Class
Date
1.

Find the slope-intercept equation

a)

y = 2x + 3

b)

y = -2x +3

c)

y = 1/2 x+3

d)

y = -1/2 x+3

2.

Find the slope-intercept equation

a)

y = 3x + 5

b)

y = -3x + 5

c)

y = -1/3 x + 5

d)

y = -1/3 x - 5

3.
a)

y = 2x + 3

b)

y = -2x + 3

c)

y = -2x + 11

d)

y = -2x - 11

4.
a)

y = -1/3 x + 5

b)

y = -1/3 x + 7

c)

y = -1/3 x + 1

d)

y = -1/3 x - 1

5.

a)

y = 3/4 x + 2

b)

y = 3/4 x - 2

c)

y = -3/4 x + 2

d)

y = -3/4 x - 2

6.

a)

y = 2/3 x + 4

b)

y = - 2/3 x + 4

c)

y = -2/3 x + 1

d)

y = -2/5 x - 1

7.

What is the slope of this line?

a)

m =1/2

b)

m = 2

c)

m = -2

d)

m = -1/2

8.

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

9.

Are these two lines parallel, perpendicular or neither?

y = 1/3x - 5

y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

10.

Write equation of a line in point slope form that passes through (3,8) and has a slope of 5?

a)

y-8=5(x-3)

b)

y=5x+8

c)

y-3=5(x-8)

d)

y-y1= m(x-x1)

11.

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

12.
Write an equation  
m = 5/4 through (-4, -3)
a)
y = 5/4x +2
b)
y = -5/4x + 2
c)
y = 2x - 5/4
d)
y = 3/4x + 2
13.
What does the "b" stand for in y=mx+b?
a)
slope
b)
x-intercept
c)
y-intercept
14.
What is the equation for the line that passes through the points (4,2) and (0,6)?
a)
y = x + 6
b)
y = -2x + 2
c)
y = -x - 6
d)
y = -x + 6
15.
Name the x- and y-intercepts for the equation:
2x + y = 6
a)
(0, 3) and (6, 0)
b)
(0, -3) and (-6, 0)
c)
(3, 0) and (0, 6)
d)
(-3, 0) and (0, -6)
16.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
17.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
18.
Give the y-interecept
3x + y = 5
a)
(-3, 0)
b)
(0,5)
c)
(-5, 0)
d)
(0, -3)
19.
What is the equation of the graphed line?
a)
y = 3
b)
y = 3x
c)
x = 3
d)
x = 3y
20.
What is the equation of the line graphed?
a)
x = -1
b)
y = -1
c)
y = -1x
d)
y = x - 1
21.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4
d)
4
22.
What is the standard form of a linear equation?
a)
y = mx + b
b)
Ax + By = C
23.

Which of the following inequalities matches the given graph?

a)

y ≥ 2/5x + 2

b)

y ≥ -2/5x -5

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

24.

Which of the following inequalities matches the given graph?

a)

y > x+1

b)

y ≤ 1x+1

c)

y ≥ x+1

d)

y ≤ x-1

25.

Which point below makes the statement FALSE?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)