Free Printable New 3 Forms of Linear Equations

1.

Write the equation in $point-slope$ form given:

m = -6 and (-2, 5)

a)

$y=-6x+5$

b)

$y+2=-6\left(x-5\right)$

c)

$y-5=-6\left(x-2\right)$

d)

$y-5=-6\left(x+2\right)$

2.

Write the equation in $slope-intercept$ given:

m = 3 and b = 5

a)

$y=3x+5$

b)

$y=3x-5$

c)

$y=5x-3$

d)

$y=-3x+5$

3.

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)

$y=-2x\ +\ 5$

4.

Graph: $𝑦=-\frac{2}{3}𝑥+4$

a)

b)

c)

d)

5.

Graph: $2𝑥+5𝑦=10$

a)

b)

c)

6.

Graph: $𝑦+3=\frac{1}{2}(𝑥+2)$

a)

b)

c)

7.

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)

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

8.

Write the equation in standard form

$2𝑦=−2𝑥−4$

a)

$2x\ +\ 2y\ =\ -4$

b)

$x+y\ =\ -2$

c)

$y=-x-2$

d)

$2y\ +\ 2x\ =\ -4$

9.

$3𝑥+𝑦=4$ Find the slope

a)

$m=-3$

b)

$m=3$

c)

$m=4$

d)

$m=\frac{4}{3}$

10.

Find the y intercept
$𝑦−12=−2(𝑥−3)$

a)

$b=-12$

b)

$b=-3$

c)

$b=18$

d)

$b=6$

11.

Find the y intercept
$3𝑥+𝑦=7$

a)

$b=\frac{7}{3}$

b)

$b=7$

c)

$b=3$

d)

$b=\frac{1}{3}$

12.

Find the slope $𝑦−6=-\frac{3}{7}(𝑥−9)$

a)

$m=-6$

b)

$m\ =\ -\frac{3}{7}$

c)

$m=-15$

d)

$m=-\frac{2}{3}$

New 3 Forms of Linear Equations

Total questions: 12

Worksheet time: 17mins

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