Standard Form to Slope Intercept Form

Presentation

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Mathematics

•

8th - 9th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.B.6, HSA.REI.B.3, 8.F.A.3

Standards-aligned

Jill Nehring

Used 919+ times

FREE Resource

6 Slides • 8 Questions

Standard Form to Slope Intercept Form

Multiple Choice

Which equation is in standard form?

y = mx + b

$y-y_1=m\left(x-x_1\right)$

Ax + By = C

$m=\frac{y_2-y_1}{x_2-x_1}$

To change from Standard Form to Slope Intercept Form, you solve the equation for y.

First, add or subtract the "x" term.
Second, divide by the coefficient (number in front of) y.
Finally, simplify if you can.

Write 3x + 2y = 6 in slope intercept form

First, subtract 3x from both sides.
2y = -3x + 6
Second, divide everything by 2

y=-\frac{3}{2}x\ +\ 3

Multiple Choice

What is the first thing you would do to write 2x - y = 7 in slope intercept form?

Add y to both sides

Subtract 2x from both sides

Divide both sides by 2

Subtract 7 from both sides

You would subtract the 2x first

So, -y = -2x + 7 (Don't forget the negative in front of the y needs to come with it!)

Next, you would need to divide by the negative 1.

Multiple Choice

What is the resulting equation? (Remember you had -y = -2x + 7)

y = 2x + 7

y = -2x - 7

y = 2x - 7

y = 2x + 8

Multiple Choice

Which equation represents 4x - 2y = 6 in slope intercept form.

y = 2x - 3

y = -2x + 3

y\ =\ \frac{1}{2}x\ -\ 3

y = 2x + 8

What would happen with x + 3y = -9

First, subtract x. 3y = -x - 9
Then, divide everything by 3.
$\frac{3y}{3}=-\frac{x}{3}-\frac{9}{3}$
$y=-\frac{1}{3}x-\ 3$

Multiple Choice

Write x + 5y = 10 in slope intercept form.

$y=-5x\ +\ 2$

$y\ =\ -\frac{1}{5}x\ +\ 5$

$y\ =\ 5x\ +\ 2$

$y\ =\ -\frac{1}{5}x\ +\ 2$

Multiple Choice

Write x + y = 3 in slope intercept form.

y = x + 3

y = -3x

y = -x + 3

y = -x - 3

Let's try: - 3x + 2y = 8

This time we would add the 3x since it is negative to start
2y = 3x + 8
Then divide everything by 2
$y\ =\ \frac{3}{2}x\ +\ 4$

Multiple Choice

Which represents -2x - 3y = 12 in slope intercept form.

$y\ =\ -\frac{2}{3}x\ -\ 4$

$y\ =\ \frac{2}{3}x\ -\ 4$

$y\ =\ -\frac{2}{3}x\ +\ 4$

$y\ =\ \frac{2}{3}x\ +\ 4$

Multiple Choice

Last one, which represents -x - y = 0 in slope intercept form?

y = x

y = -x

y = 0

y = x + 1

Standard Form to Slope Intercept Form

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