1. Section 5.2
Using Intercepts

2. Objective By following instructions students will be able to:
Identify and use intercepts in linear relationships.

3. The y-intercept of a graph is the y-coordinate of the point where the graph intersects the y-axis.
The x-intercept of a graph is the x-coordinate of the point where the graph intersects the x-axis.

4. Explain 1 Find the x- and y-intercepts. a) b) 3x - 2y = 6

5. Reflect #1
If the point (5, 0) is on a graph, is (5, 0) the y-intercept of the graph? Explain.
Your-Turn #1
Find the x- and y-intercepts.
a) b)
8x + 7y = 28
-6x - 8y = 24

6. Explain 2A
Find and interpret the x- and y-intercepts for each situation.
The Sandia Peak Tramway in Albuquerque, New Mexico,
travels a distance of about 4500 meters to the top of Sandia
Peak. Its speed is 300 meters per minute. The function
ƒ (x) = x gives the tram’s distance in meters from the
top of the peak after x minutes.

7. Explain 2B
A hot air balloon is 750 meters above the ground and begins to
descend at a constant rate of 25 meters per minute. The function
ƒ(x) = x represents the height of the hot air balloon after
x minutes.

8. Your-Turn #2
The temperature in an experiment is increased at a constant rate over a period of time until the temperature reaches 0 °C. The equation y = 5x/ gives the temperature y in degrees Celsius x hours after the experiment begins. Find and interpret the x- and y-intercepts.

9. Explain 3A
Use intercepts to graph the line described by each equation.

10. Explain 3B
Use intercepts to graph the line described by each equation.
18y = 12x + 108

11. Revisit Objective Did we…
Identify and use intercepts in linear relationships?

12. Homework
HW:
Page 179 #s 1-9, odds, 19-21