Converting Between Linear Forms

Presentation

•

Mathematics

•

9th Grade

•

Medium

•

CCSS

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

Standards-aligned

Melissa Stewart

Used 52+ times

FREE Resource

6 Slides • 5 Questions

Converting Between Linear Equation Forms

Types of Linear Equations

Categorize

Options (12)

$y=-\frac{1}{2}x+6$

$y-5=\frac{2}{3}\left(x+2_{ }\right)$

$2x-3y=12$

$y=5x+14$

$y+3=5\left(x-7\right)$

$5x-7y=10$

$y-11=-\frac{5}{8}\left(x-9\right)$

$12x+y=2$

$y=\frac{4}{7}x-3$

$y=mx+b$

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

$Ax+By=C$

Arrange the given linear equations, so they are in the column corresponding to their form.

Slope-Intercept Form

Point-Slope Form

Standard Form

Example:

Distribute m
Add/Subtract y₁

From Point-Slope Form

Converting to Slope-Intercept Form

Add/subtract the x-term
Divide by coefficient of y

From Standard Form

Converting to Slope-Intercept Form

Example:

Multiple Choice

Rewrite the following linear equation in slope-intercept form.

$y+3=-3\left(x-1\right)$

$y=-3x+6$

$y=-3x$

$y=-3x-6$

$y=-3x-4$

Multiple Choice

Rewrite the following linear equation in slope-intercept form.

$7x+3y=-12$

$y=-7x-12$

$y=-\frac{7}{3}x-12$

$y=-\frac{7}{3}x-4$

$y=\frac{7}{3}x+4$

$y=7x+4$

Example:

Distribute m
Multiple by the common denominator of any fractions
Add/subtract the x-term
Add/Subtract y₁

From Point-Slope Form

Converting to Standard Form

Example:

Multiple by the common denominator of any fractions
Add/subtract the x-term (to get the variables on the same side)
Optional: Multiply the equation by -1 so the A is positive

From Slope-Intercept Form

Converting to Standard Form

Multiple Choice

Rewrite the following linear equations in standard form.

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

$8x-4y=19$

$-8x+4y=-13$

$-6x+4y=-19$

$6x-4y=11$

Multiple Choice

Rewrite the following linear equations in standard form.

$y=-\frac{1}{5}x-8$

$5x+y=40$

$x+y=-40$

$x+5y=-8$

$x+5y=-40$

Converting Between Linear Equation Forms

Show answer

Auto Play

Slide 1 / 11

SLIDE

Similar Resources on Wayground

10 questions

The Discriminant

Presentation

•

9th Grade

10 questions

Parallel and perpendicular slope

Presentation

•

9th Grade

6 questions

1.2 Honors Test Review

Presentation

•

9th Grade

8 questions

2/9 M4 L1 (part 2)

Presentation

•

9th Grade

10 questions

Writing Quadratics Lesson (6B)

Presentation

•

9th Grade

8 questions

Statistics Basics

Presentation

•

8th - 9th Grade

8 questions

Elimination Steps

Presentation

•

9th Grade

8 questions

Introduction to Graphing Exponential Functions

Presentation

•

9th Grade

Popular Resources on Wayground

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

Discover more resources for Mathematics

12 questions

Absolute Value Equations

Quiz

•

9th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

11 questions

Slope from 2 points

Quiz

•

8th - 9th Grade

10 questions

Exploring the Basics of Exponents

Interactive video

•

6th - 10th Grade

10 questions

Solving Absolute Value Equations

Quiz

•

9th Grade

18 questions

SB 12.2 Write in point slope form

Quiz

•

9th Grade

12 questions

Identify Rigid Transformations

Quiz

•

8th - 12th Grade

10 questions

Complementary, Supplementary, Vertical, and Linear Pairs

Quiz

•

9th - 12th Grade