1. Practice converting linear equations into Slope-Intercept Form

2. y = mx + b Slope intercept form is:
Our main goal is to get the y alone on one side of the equation

3. Convert Into Slope-Intercept Form
(divide both sides by 2 to get y alone)
(now simplify all fractions) 2 1

4. *** Easy *** 5y = 10x + 15 y = 2x + 3 BRAVO!!
Convert to Slope-Intercept Form:
5y = 10x + 15
(divide both sides by 5 to get y alone)
(now simplify all fractions)
y = 2x + 3 BRAVO!!

5. *** Now Try this Convert to Slope-Intercept Form ***
-3y = -9x - 12
Step 1: divide both sides by -3 to get y alone
Step 2: Simplify all fractions
Step 3: Write your equation in y = mx + b
What is the slope? ____________
What is the intercept? ____________

6. *** Check Your Answer ***
-3y = -9x - 12
(divide both sides by -3 to get y alone)
(now simplify all fractions)
-3y = -9x - 12
y = 3x + 4
Wow, you’re good at this!!
Slope = 3
Intercept = 4

7. *** medium *** 21x – 7y =14 -7y = -21x + 14 y = 3x – 2
Convert to Slope-Intercept Form:
21x – 7y =14
(subtract both sides by 21x)
(now divide both sides by -7)
-7y = -21x + 14
(simplify all fractions)
y = 3x – 2

8. *** Now Try this Convert to Slope-Intercept Form ***
2y + 26 = -6x
Step 1: Subtract both sides by 26
Step 2: Divide both sides by 2 to get y by itself
Step 3: Simplify all fractions
What is the slope? ____________
What is the intercept? ____________

9. *** Check Your Answer ***
2y + 26 = -6x
(subtract both sides by 26)
(now divide both sides by 2
2y = -6x - 26
(simplify all fractions)
y = -3x - 13
You are a math wizard!

10. Can’t add or sub these. Why?
Write these equations in slope-intercept form.
Can’t add or sub these. Why?
They are not
Like Terms 1.
We want y by itself
Mark it - then
Move the term beside it to the other side (do the opposite + or -)
Move the term in front of y (divide by the number in front of the y)

11. Can’t add or sub these. Why?
Put in Slope-Intercept Form - Solve for “y”
Can’t add or sub these. Why?
They are not
Like Terms 2.
We want y by itself
Mark it - then
Move the term beside it to the other side (do the opposite + or -)
Move the term in front of y (divide by the number in front of the y)

12. Put in Slope-Intercept Form - Solve for “y”
We want y by itself
Mark it - then
Move the term beside it to the other side (do the opposite + or -)
Move the term in front of y (divide by the number in front of the y) 3.

13. Put in Slope-Intercept Form - Solve for “y”
We want y by itself
Mark it - then
Move the term beside it to the other side (do the opposite + or -)
Move the term in front of y (divide by the number in front of the y)
Nothing to move!! So turn it around! 4. 5.

14. Put in Slope-Intercept Form - Solve for “y”
We want y by itself
Mark it - then
Move the term beside it to the other side (do the opposite + or -)
Nothing to move so
Move the term in front of y (divide by the number in front of the y) 6. 7.