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Today’s Goal By the end of the period you will be able to: find the x- and y-intercepts of linear equations.

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Presentation on theme: "Today’s Goal By the end of the period you will be able to: find the x- and y-intercepts of linear equations."— Presentation transcript:

1 Today’s Goal By the end of the period you will be able to: find the x- and y-intercepts of linear equations.

2 What does it mean to INTERCEPT a pass in football? The path of the defender crosses the path of the thrown football. In algebra, what are x- and y-intercepts?

3 What are the x- and y-intercepts? The x-intercept is where the graph crosses the x-axis. The y-coordinate is always 0. The y-intercept is where the graph crosses the y-axis. The x-coordinate is always 0. (2, 0) (0, 6)

4 Find the x- intercepts. x-intercept: Plug in 0 for y. x - 2y = 12 x - 2(0) = 12 x - 0 = 12 x = 12 (12, 0)

5 Find the y-intercepts. y-intercept: Plug in 0 for x. x - 2y = 12 0 - 2y = 12 -2y = 12 -2y = 12 -2 -2 y = -6 (0, -6)

6 x-intercept: Plug in 0 for y. -3x + 5y = 9 -3x - 5(0) = 9 -3x - 0 = 9 -3x = 9 -3x = 9 -3 -3 x = -3; (-3, 0) Find the x-intercepts.

7 y-intercept: Plug in 0 for x. -3x + 5y = 9 -3(0) + 5y = 9 0 + 5y = 9 5y = 9 5y = 9 5 5 y = (0, ) Find the y-intercepts.

8 Find the x- intercepts. SHORT CUT Cross out the other letter term x - 2y = 12 x = 12 (12, 0)

9 Find the y-intercepts. SHORT CUT Cross out the other letter term x - 2y = 12 - 2y = 12 -2y = 12 -2 -2 y = -6 (0, -6)

10 -3x + 5y = 9 -3x = 9 -3x = 9 -3 -3 x = -3; (-3, 0) Find the x-intercepts.

11 -3x + 5y = 9 5y = 9 5y = 9 5 5 y = (0, ) Find the y-intercepts.

12 What is the x-intercept of 3x – 4y = 24? 1.(3, 0) 2.(8, 0) 3.(0, -4) 4.(0, -6)

13 What is the y-intercept of -x + 2y = 8? 1.(-1, 0) 2.(-8, 0) 3.(0, 2) 4.(0, 4)

14 What is the y-intercept of x = 3? 1.(3, 0) 2.(-3, 0) 3.(0, 3) 4.None


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