1. Convert Standard to Slope-Intercept
Objective: To convert a linear equation from standard form to slope-intercept form.

2. Convert Standard Slope-Intercept y = mx + b Ax + By = C Steps:
1. Subtract Ax
2. Divide everything by B
y = mx + b
Ax + By = C

3. Example 1
Convert the equation from standard form to slope-intercept form:
2x + 3y = 12
-2x -2x
3y = -2x + 12
y = -2x + 4 3
Steps:
Subtract Ax
Divide everything by B
Ax By = C

4. Example 2
Convert the equation from standard form to slope-intercept form:
2x – y = -4
-2x x
-y = -2x – 4
y = 2x + 4
Steps:
Subtract Ax
Divide everything by B
Ax By = C

5. TOO Convert to slope-intercept form: 4x – 5y = 10
Now, identify the slope and y-intercept:
(hint: slope is m, y-intercept is b)
Slope:______
y-intercept:_______
y = 4/5x – 2
4/5 -2

6. In General
Ax + By = C
y = -a x + c
b b
m = -a/b
y-intercept = c/b

7. TOO Identify slope and y-intercept: 5x + 2y = 12 -5x -5x y = -5/2x + 6
y = -5/2x + 6
Slope:______
y-intercept:_______
y = -5/2x + 6
-5/2 6

8. Homework Equations in Two Variables (pt. 1)
Show your work at the bottom of the paper
Convert to y=mx + b
State m and b