Warm ups Graph using intercepts: 1. 2x + 3y = 122.4x – 5y = 20 3. 2x – y = -44.3x + 4y = -8.

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Presentation transcript:

Warm ups Graph using intercepts: 1. 2x + 3y = 122.4x – 5y = x – y = -44.3x + 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 StandardSlope-Intercept Steps: 1. Subtract Ax 2. Divide everything by B Ax + By = C y = mx + b

Example 1 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 – 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 y = -5/2x + 6 Slope:______ y-intercept:_______ y = -5/2x /2 6 Identify slope and y-intercept: