STANDARD FORM

MODULE 4 LESSON 8X & Y INTERCEPTS

WHAT 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?

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.

FINDING INTERCEPTS 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

USING INTERCEPTS TO GRAPH A LINEPROBLEM 1 CONTINUED 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)

FIND THE X- AND Y-INTERCEPTS

x+1= y

To find the x-intercept, substitute in 0 for y:

To find the y-intercept, substitute in 0 for x:

USING INTERCEPTS TO GRAPH A LINEPROBLEM 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)

YOUR TURN!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=20.1. 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?