Unit 4: Linear Equations In-Depth
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Unit 4: Linear Equations In-Depth 4.1 Using m & b to graph equations
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Unit 4: Linear Equations In-Depth. 4.1 Using m & b to graph equations. Write down this problem on your COMMUNICATOR Be prepared to share your work with the class. Are these two the same? Defend your claim. y = 7x + 8 10y = 70x + 80. Page 40 of your INB. i -can. - PowerPoint PPT Presentation
Transcript of Unit 4: Linear Equations In-Depth
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
