1. Practice converting linear equations into Slope-Intercept Form
It’s easier than you think…

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. When an equation is in slope-intercept form:
y = mx + b
slope
Intercept
Now look at the equation below…… 2
What is the slope? ____________ 1
What is the intercept? ____________

5. y = 2x + 1 Now look at the graph of the line.
Step 1: Look at the y-intercept and plot
where the graphs cross the “y” axis.
Step 2: Use the slope (rise/run) to determine the next point and plot.
Step 3: Draw a line through both points. Be sure to extend pass point and put arrow at both ends.

6. *** 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!!

7. *** 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? ____________

8. *** 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

9. *** 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

10. *** 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? ____________

11. *** 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!

12. Find the Equation of the Line
What is the
y-intercept?
b = -2
What is m?
m =
Up 3 and over 2
y = x -2 x y

13. Find the Equation of the Line
b = ?
b = 4
m = ?
m = 0
y = 0x+4
y=4 x y

14. Find the Equation Given the Slope and y-intercept
1) m = -3, b = 1
y = -3x + 1
2) m = - , b = -4
y = - x - 4

15. Find the Equation Given the Slope and a Point
Given m = -1, (2, 1) 2=x, 1=y
First, calculate b by substituting the slope and the coordinates into y = mx + b.
y = -1x + b
1 = -1(2) + b
1 = -2 + b
3 = b
y = -1x + 3

16. Find the Equation Given the Slope and a Point
Given m = -4, (-3,5)
Remember to substitute (-3=x, 5=y)
First, calculate b by substituting the slope and the coordinates into y = mx + b.

17. Find the Equation Given Two Points
Given (-1, 3) and (2, 1)
First, calculate the slope: (difference in y’s) (difference in x’s)
Second, find b. Use either point...
m = , (2, 1)
1 = (2) + b
1 = b
= b

18. Find the Equation Given Two Points
Write in slope-intercept form the equation of the line that passes through the point (3, -2) and (6,0).
Step 1: Find the slope
Step 2: Substitute slope and one point into y=mx + b

19. Write the equation of the line in the graph in slope-intercept form.

20. Write the equation of the line in the graph in slope-intercept form.