Writing Linear Equations Given Slope and a Point

Presentation

•

Mathematics

•

7th Grade

•

Practice Problem

•

Medium

•

CCSS

6.NS.B.3, 8.EE.B.6, HSA.CED.A.4

Standards-aligned

Michele Vitale

Used 4+ times

FREE Resource

24 Slides • 10 Questions

Today's Goal is to do this!!!

The next slides will walk you through this do now problem, copy the algebraic work into your notebook!

Multiple Choice

What is the first step when graphing 12x - 4y = 32?

Plot 32 on the y-axis

Write m = 3 and b = 32

Convert the equation into slope-intercept form

This can't be done!

Multiple Choice

When converting standard form to slope-intercept form, the first thing to do is:

12x - 4y = 32

add 4y to both sides of the equation

subtract 12x from both sides of the equation

divide 32 by 4

combine 12x and -4y

This is where we are at so far in this problem!

Multiple Choice

The next step for this would be to:

- 4y = - 12x + 32

divide everything by -4

divide everything by 4

subtract 4 from everything

add 4 to everything

Multiple Choice

The resulting equation when dividing everything by -4 in this equation is:

- 4y = - 12x + 32

y = 3x + 8

y = 3x - 8

y = -3x + 8

y = -3x - 8

Go to the next slide to see how it is graphed!
(you don't need that part for your notes today)

Click through the next few slides to see how to do today's lesson if you were given a graph. You don't need to take notes on this if you just promise to read carefully!

Warning:
The next slide is the most important slide of the lesson!!!!!!!

You must copy this into your notebook (and the rest of this lesson!)

Follow along and write this problem in your notebook!

Great job following along
(I hope you wrote it all in your notebook!)

Now it is time to try 3 problems on your own.

Copy this problem in your notebook and try it!

Multiple Choice

What is the first step to write the equation of this line algebraically?

Write y = mx + b

Write ax + by = c

Graph it

This is impossible

Multiple Choice

Next you would:

substitute as:

-7 = 1/3(-6) + b

substitute as:

-6 = 1/3(-7) + b

substitute as:

1/3 = -6(-7) + b

This is impossiblesubstitute as:

-6 = m(-7) + 1/3

Fill in the Blanks

What is the value of b when you solve for it?

Multiple Choice

Now put it all together in slope-intercept form:

Try this next one in your notebook, then proceed to the next slide once you are done!

Math Response

Type what you got as the equation for this problem!

(hint: use your keyboard to type the variables)

Type answer here

Deg^°

Rad

Math Response

Type what you got as the equation for this problem!

(hint: use your keyboard to type the variables and there is a fraction button on the right side of the keypad!)

Type answer here

Deg^°

Rad

That is all we have for the lesson for today.

If you would like to practice this work again, feel free to replay this Quizizz!

Today's Goal is to do this!!!

Show answer

Auto Play

Slide 1 / 34

SLIDE

Similar Resources on Wayground

27 questions

Volume of Prisms

Presentation

•

7th Grade

26 questions

Composite Figures

Presentation

•

7th Grade

29 questions

Percent

Presentation

•

7th Grade

27 questions

Ratio, Rates, Unit Rates, proportions & Percent Proportions

Presentation

•

6th - 7th Grade

24 questions

Adding and Subtracting Rational Numbers

Presentation

•

7th Grade

32 questions

Simple Theoretical Probability Lesson

Presentation

•

7th Grade

28 questions

Modeling Integer Addition

Presentation

•

7th Grade

23 questions

Volume and Surface Area Review

Presentation

•

7th 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

16 questions

Proportional and Non Proportional Relationships in Tables, Graphs, and Equations

Quiz

•

7th Grade

20 questions

Constant of Proportionality

Quiz

•

7th Grade

20 questions

Halloween Trivia

Quiz

•

7th Grade

15 questions

One-Step Equations

Quiz

•

7th Grade

20 questions

Add and Subtract Integers

Quiz

•

6th - 8th Grade

16 questions

Adding and Subtracting Integers

Quiz

•

7th Grade

20 questions

Two-Step Equations Review

Quiz

•

7th Grade

20 questions

Model Algebraic expressions with tiles

Quiz

•

7th Grade