warm ups graph using intercepts: 1. 2x + 3y = 122.4x – 5y = 20 3. 2x – y = -44.3x + 4y = -8
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Warm upsGraph 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.
2x + 3y = 12
What is the slope? _____
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 y-intercept.
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!
-2/3
Convert
Standard Slope-Intercept
Steps:1. Subtract Ax
2. Divide everything by B
Ax + By = C y = mx + b
Example 1
Convert the equation from standard form to slope-intercept form:
2x + 3y = 12
-2x -2x
3y = -2x + 12
3 3 3
x+4
Ax + By = C Steps:
1. Subtract Ax
2. Divide everything by B
Example 2
Convert the equation from standard form to slope-intercept form:
2x – y = -4
-2x -2x
-y = -2x – 4
-1 -1 -1
y = 2x + 4
Ax + By = C Steps:
1. Subtract Ax
2. Divide everything by B
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
In General
Ax + By = C y = -a x + c
b b
m = -a/b
y-intercept = c/b
5x + 2y = 12 -5x -5x 2y = -5x + 12 2 2 2
y = -5/2x + 6
Slope:______ y-intercept:_______
y = -5/2x + 6
-5/2
6
Identify slope and y-intercept:
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