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Published byAusten Hunt Modified over 5 years ago

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Slope-Intercept and Point-Slope Forms of a Linear Equation

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y = mx + b ◦ m represents the SLOPE (rise/run) ◦ b represents the Y-INTERCEPT –> (0, b)

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1. y = -x + 52. 3x + y = 4 3. 16y = 8x + 324. -x + 2y = 8

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Find where the line crosses the y-axis. This is the y-intercept, b. Select 2 points on the line and COUNT for slope using Rise. This is m. Run Plug m and b into y = mx + b

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1) 2x + 3y = 1 and y = -2 x + 3 3 2) 8x + 2y = 10 and x – 7 = 4y 3) 5x – 6y = 18 and -6x + 5y = 10

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See graph paper

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1. Rearrange into slope-intercept form if needed. 2. Identify the y-intercept (0, b) and plot it. 3. Beginning at b, move Up and Down, then to the Right for the slope (Rise/Run). 4. Connect the points with a straight line.

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1. 2x + 3y = 6 2. -2x + 5y = 10

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Used to write the equation of a line when you are not given its graph. y – y 1 = m(x – x 1 ) ◦ m represents the slope ◦ x 1 and y 1 represent coordinates from an point on the line ◦ Simply plug in the m, x 1, and y 1 – then rearrange into slope-intercept form

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1. Slope = 3, through (0, -1) 2. Slope = 2/3, through (3, 6) 3. Through (-6, -2) and (5, -3) 4. Through (3, 0) and (-3, 5)

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