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**Ax + By = C Form: x- and y- intercepts**

Lesson 5-7

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**Review When given Ax + By = C, and asked to graph… y = mx + b**

**goal: is to change to y = mx + b, by ISOLATING the y y-intercept (aka “b”): The point at which a line on a graph intercepts/crosses the y-axis x-intercept: The point at which a line on a graph intercepts/crosses the x-axis

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X- and Y- Intercepts X- and Y- intercepts… what does that mean? WHERE on the x-axis/y-axis the line passes (Just TWO points on x and y)

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**Find the x- and y- intercepts of the equation: 3x + 4y = 12**

Find the x-intercept: 3x + 4y = 12 *let y = 0 3x + 4(0) = 12 3x = 12 x = 4 Find the y-intercept: 3x + 4y = 12 *let x = 0 3(0) + 4y = 12 4y = 12 y = 3

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**Find the x- and y- intercepts of the equation: 2x – y = 4**

Find the x-intercept: 2x – y = 4 *let y = 0 2x – (0) = 4 2x = 4 x = 2 Find the y-intercept: 2x – y = 4 *let x = 0 2(0) – y = 4 -y = 4 y = -4

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Practice Find the x- and y- intercepts of: A) 10x – 2y = 20 B) 5x + 2y = -10

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Homework p. 249 #15, 18, 19, 20, 22 (solve x- and y-) #33,34, (graph all problems BUT 33, 34)

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Author: Julia Richards and R. Scott Hawley

Author: Julia Richards and R. Scott Hawley

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