Unit 4: Linear Equations In-Depth

4.1 Using m & b to graph equations

i-can

Are these two the same? Defend your claim.

y = 7x + 8 10y = 70x + 80

Write down this problem on your

COMMUNICATORBe prepared to share your work

with the class.

Page 40 of your INB

write 2x+3y =2(4x-6) in slope-intercept form

ITEMS of BUSINESS

• Nothing.

Have your homework out on your desk.

RE-People with 100%, try this honors question:

What is the slope and y-intercept of x = 7?Also, graph x = 7

answer: slope is undefined & the y-intercept does not exist

Get into your 4-Square Groups

i-can write

in slope-intercept form

𝟐 𝒙+𝟑𝒚=𝟐(𝟒 𝒙−𝟔)

Page 40-41 of your INB

Y = X +

SLOPE-INTERCEPT FORM

m b

Today’s i-can involves SKILL.

What kind of SKILL?

SOLVING EQUATION SKILLZ?

GOT SKILLZ?

How to solve (for y) like a

Step 1: Simplify

ROCKSTAR

Write this down on your foldable.

Question. . .

simplifyWhat does mean?

Easy. It means make fewer things for youreyeballs to look at. Or fewer things foryour brain to have to focus on.

Example: 1 + 2 + 3 + 4 or 10

Which is easier to look at or to focus on?

simplified!

simplifyIn math, means . . .

combine like terms.

Example: y = 8x – 2x + 10 +x - 12

Add this to your foldable, step 1.and follow along.

on your homework problems . . .

COMBINE LIKE TERMS.

on your homework problems . . .

COMBINE LIKE TERMS.

simplifyingSo is that all there is to ?

Well no. There’s more. There’s actuallya step that comes before combining like terms . . . .

All you gottado is ? combine like terms

distribute.

Add this to your foldable, step 1.

Do you recallwhat it means to ?distribute

It means multiply (or divide) everythingINSIDE the group by what’s OUTSIDE the group.

Example: y = -3(2x – 4)

How to solve (for y) like a

Step 1: Simplify

ROCKSTAR

- distribute- combine like terms

on your homework problems . . . DISTRIBUTE, then COMBINE LIKE TERMS.

on your homework problems . . .

COMBINE LIKE TERMS.

How to solve (for y) like a

Step 2: ISOLATE the “y” term.

ROCKSTAR

Step 1: Simplify- distribute- combine like terms

Write this down on your foldable.

That’s right! ALONE.ALONE means ALONE. No friends on the same side of the fence. None. Zippo. Nada. Zilch.

Step 2: ISOLATE the y term.

Examples: y – 3x = 19 y + 2x = 3x - 10

Follow along in your foldable.

on your homework problems . . . DISTRIBUTE, COMBINE LIKE TERMS, ISOLATE Y TERM

on your homework problems . . .

COMBINE LIKE TERMS.

How to solve (for y) like a

Step 2: ISOLATE the y term.

ROCKSTAR

Step 1: Simplify- distribute- combine like terms

Step 3: Divide by the y coefficient.

Write this down on your foldable.

coefficientWHAT. Is a ?

Simple. A COEFFICIENT is a numberthat is multiplied (or divided) by a variable.

Example: 21y or - ½ y

coefficient coefficient

Step 3: Divide by the y coefficient.

Examples:-6y = 18x - 36 or 3y = 9x + 5

Follow along in your foldable.

on your homework problems . . . DIVIDE BY THE Y COEFFICIENT

on your homework problems . . .

COMBINE LIKE TERMS.

i-can

#40 on homework

write2x + 3y = 2(4x – 6)in slope-intercept form

𝟐 𝒙+𝟑𝒚=𝟐(𝟒 𝒙−𝟔)

on your homework problems . . .

Worksheet4.2

Change to y=mx+bthen graph