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Warm ups Graph using intercepts: 1. 2x + 3y = x – 5y = x – y = x + 4y = -8 Volunteers to the board!!

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

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What is the slope of #1? _____ 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

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

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

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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

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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

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

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

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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

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