Download Convert Standard to Slope-Intercept

Warm ups
Volunteers to the board!! 
Graph using intercepts:
1. 2x + 3y = 12
2.
4x – 5y = 20
3.
2x – y = -4
4.
3x + 4y = -8
Convert Standard to
Slope-Intercept
Objective: To convert a linear
equation from standard form to
slope-intercept form.
-2/3
What is the slope of #1? _____


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Part of being able to analyze a graph is being
able to say the slope.
Also, sometimes it is easier to graph with the
slope and y-intercept than with the x-and yintercept.
Writing an equation from a graph is easier to
do with slope and y intercept (y = mx + b)

You will have to do this on your test!
Convert
Standard
Ax + By = C
Slope-Intercept
y = mx + b
Steps:
1. Subtract Ax
2. Divide everything by B
Example 1
Convert the equation from standard form to slopeintercept form:
Ax + By =
C
2x + 3y = 12
-2x
-2x
3y = -2x + 12
3
3
3
y = -2x + 4
3
Steps:
1. Subtract Ax
2. Divide everything by B
Example 2
Convert the equation from standard form to slopeintercept form:
Ax + By =
C
2x – y = -4
-2x
-2x
-y = -2x – 4
-1 -1 -1
y = 2x + 4
Steps:
1. Subtract Ax
2. Divide everything by B
TOO
Convert to slope-intercept form:
4x – 5y = 10
y = 4/5x – 2
Now, identify the slope and y-intercept:
(hint: slope is m, y-intercept is b)
4/5
Slope:______
-2
y-intercept:_______
In General
Ax + By = C
y = -a x + c
b
b
m = -a/b
y-intercept = c/b
TOO
Identify slope and y-intercept:
5x + 2y = 12
-5x
-5x
2y = -5x + 12
2
2
2
y = -5/2x + 6
-5/2
Slope:______
6
y-intercept:_______
y = -5/2x + 6