Transcript X and Y Intercepts

STANDARD FORM
MODULE 4 LESSON 8
X & 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 LINE

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

1
x+1=
2
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 LINE

Graph the line with an x-intercept of 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)
YOUR TURN!
Find the x- and y-intercepts of the equation.
Then graph the line using the intercepts.
y
1.
4x – y=3
x
2.
6x+3y=18
y
x
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?