Free Printable Forms of Linear Equations

1.

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

2.

Which of these represents standard form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

3.

What form of linear equation is this?

a)

Slope-Intercept

b)

Point-Slope

c)

Standard

4.

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)

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

5.

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

a)

$m=-6$

b)

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

c)

$m=-15$

d)

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

6.

Write in standard form.
4x - 2y + 3 = 7 - 4y

a)

4x + 2y = 4

b)

4x - 6y = 10

c)

4x + 6y = 4

d)

4x -2y = 4

7.

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)

8.

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

9.

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)

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)

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

Forms of Linear Equations

Total questions: 10

Worksheet time: 17mins

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