Free Printable Linear Forms of Equations

1.

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

2.

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)

3.

Which is the correct equation for the graph?

a)

x-2y=-6

b)

Y=-6x+6

c)

Y=-6x-6

d)

x+y=6

4.

Convert to slope-int

a)

y= -1/4x-3/4

b)

y=-1/4x+3/4

c)

y=3/4x-1/4

d)

y=-3/4x+1/4

5.

A Taxi driver's pay was charging at the following rates
x- miles driven
y-total cost
(2,11)
(5,21.5)
Find and equation that describes how much he charges

a)

y=3.5x+4

b)

y=3x+5.5

c)

y=2.5x+7

d)

y=3x-4

6.

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

7.

Write the equation in slope-intercept given:

(-4, 3) and (1, 13)

a)

$y-3=2\left(x+4\right)$

b)

$y=2x\ +\ 5$

c)

$y=2x+11$

d)

$y=-2x\ +\ 5$

8.

Graph: $2𝑥+5𝑦=10$

a)

b)

c)

9.

Graph: $𝑦+3=\frac{1}{2}(𝑥+2)$

a)

b)

c)

10.

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

a)

$4x+5y=37$

b)

$-4x\ +\ 5y\ =30$

c)

$\frac{4}{5}x+y\ =\ \frac{37}{5}$

d)

$5y\ +\ 4x\ =\ 13$

11.

Write the equation in slope-intercept
$2𝑥+6𝑦=18$

a)

$x+3y\ =\ 9$

b)

$y=\frac{1}{3}x+3$

c)

$y=-3x+1$

d)

$y=-\frac{1}{3}x+3$

12.

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

a)

$x-2y=10$

b)

$y=\frac{1}{2}x+\frac{1}{4}$

c)

$-x+2y=11$

d)

$x+2y\ =\ 4$

13.

Find the y intercept
$𝑦−12=−2(𝑥−3)$

a)

$b=-12$

b)

$b=-3$

c)

$b=18$

d)

$b=6$

14.

Which of the following represents the equation of the line passing through (-4, 5) PERPENDICULAR to the line y = -1/2x + 5/2?

a)

y = 2x + 13

b)

y = 2x + 5

c)

y = -1/2x + 3

d)

y = -1/4x + 11/2

15.

Determine the equation of the line that is PERPENDICULAR to the line 3x + 12y = 1 and contains the point (-2, 6).

a)

y = 4x + 6

b)

y = 4x + 14

c)

y = 3x + 12

d)

y = -1/4x + 11/2

16.

What slope is parallel to:
m = 4

a)

4

b)

-1/4

c)

-4

d)

1/4

17.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

18.

y = 6x + 2
y = -6x + 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

19.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

20.

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

a)

y = 1/5x - 3

b)

y= 5x - 7

c)

y = 5x + 4

d)

y = -5x - 3

Linear Forms of Equations

Total questions: 20

Worksheet time: 2hrs 30mins

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