1. Converting between Standard form and Slope-Intercept form
Graphing Unit

2. Slope-Intercept Formula
This formula will be used to ___________and _____________ linear equations.
To be able to use this formula, the equation you are graphing must be in this format!! This means to ______________________________________.
write
graph
Solve for “y”

3. Slope-Intercept Form y = mx + b
“x” and “y” have to be on opposite sides of equation
STEPS TO SOLVE FOR “Y”
Add/Subtract the term that is on the same side of the equation with y
Divide by the number in front
of y

4. Example 1 & 2 Write in slope-intercept form
You try it

5. Standard Form
Ax + By = C
“x” and “y” have to be on same side of equation
“A” can’t be negative (AM sometimes breaks this rule)
There can’t be any fractions
STEPS
MULTIPLY BY LCD
MOVE “X” AND “Y” TO SAME SIDE
MAKE SURE “X” IS NOT NEGATIVE (Divide BY -1)

6. Example 3 Write in standard form
Multiply
Multiply
“x” and “Y” on
Same side
Multi
Divide
Divide
No negatives
In front

7. Example 4 Write in standard form
Multiply
“x” and “Y” on
Same side
Multiply
Multi
Divide
Divide
No negatives
In front

8. Example 5 Write in standard form
Multiply
Multiply
“x” and “Y” on
Same side
Multi
Divide
Divide
No negatives
In front

9. Example 6 Write in standard form
Multiply
Multiply
“x” and “Y” on
Same side
Multi
Divide
Divide

10. Example 7 Write in standard form
Multiply
“x” and “Y” on
Same side
Multi
Multiply
Divide

11. Example 8 Write in standard form
Multiply
Multiply
“x” and “Y” on
Same side
Multi
Divide
No negatives
In front

12. Now let’s use the formula to WRITE an equation.
Write an equation in slope-intercept form when given the slope and the y-intercept.
m = 3, b = 1
Simply replace the “m” and the “b” in the formula with the numbers and you have an equation.

13. Writing Slope-Intercept Equations - Examples
Write an equation in slope-intercept form when given the slope and the y-intercept.
m = ½ , b = 1
m = -3, b = 5
m = 4, b = -2
m = 0, b = 7