5.2 Using Intercepts Pg. 303.

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Presentation transcript:

5.2 Using Intercepts Pg. 303

Objective Find x- and y- intercepts and interpret their meanings in real world situations Vocabulary x – Intercept Where graph crosses the x-axis y – Intercept Where graph crosses the y-axis

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?

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.

Find the x- and y-intercepts x-intercept: Plug in 0 for y y-intercept: Plug in 0 for x

Find the x- and y-intercepts x-intercept: Plug in 0 for y y-intercept: Plug in 0 for x

Find the x- and y-intercepts x-intercept: Plug in 0 for y y-intercept: Plug in 0 for x

Find the x- and y-Intercepts. Special Cases Find the x- and y-Intercepts ***Special Cases*** (x = constant, or y = constant)

What is the x-intercept of 3x – 4y = 24? (3, 0) (8, 0) (0, -4) (0, 8) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32

What is the y-intercept of -x + 2y = 8? (4, 0) (-8, 0) (0, 2) (0, 4) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32

What is the y-intercept of x = 3? (3, 0) (-3, 0) (0, 3) None 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32

1. Draw a sketch of the graph in the equation 2x + 3y = 12

Homework Pg. 306, 2 – 28 Even and 49 – 52 all