S TANDARD F ORM M ODULE 4 L ESSON 8 X & Y I NTERCEPTS.

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Presentation transcript:

S TANDARD F ORM M ODULE 4 L ESSON 8 X & Y I NTERCEPTS

W HAT DOES INTERCEPT MEAN ? In football: The path of the defender crosses the path of the thrown football. In math: What are the x- and y-intercepts?

W HAT 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.

F INDING I NTERCEPTS To find the x-intercept, substitute in 0 for y and solve for x 2x+y=6 To find the y-intercept, substitute in 0 for x and solve for y 2x+y=6

U SING I NTERCEPTS TO G RAPH A L INE P ROBLEM 1 C ONTINUED Graph the line with an x-intercept of 3 and a y-intercept of 6. The x-intercept is 3, so we have the point (3, 0) The y-intercept is 6, so we have the point (0, 6)

F IND THE X - AND Y - INTERCEPTS

U SING I NTERCEPTS TO G RAPH A L INE P ROBLEM 2 CONTINUED Graph the line with an x-intercept of -2 and a y-intercept of 1. The x-intercept is -2, so we have the point (-2, 0) The y-intercept is 1, so we have the point (0, 1)

Y OUR T URN ! Find the x- and y-intercepts of the equation. Then graph the line using the intercepts. 1. 4x – y=3 2. 6x+3y=18 x x y y

In order to prepare for an upcoming snow storm, Jane went to rent some movies and video games. Movies cost $4 each to rent, and video games cost $2 each. Jane spent $20 renting movies and games. The equation that represents x number of movies, and y number of video games is 4x+2y= What are the x- and y-intercepts? 2. Graph the line using the intercepts. 3. What do the x- and y-intercepts represent for this problem?