1. Opening Routine – In your Notebook

2. Topic 3 – Linear Functions, Equations, and Inequalities
Topic 3 – Linear Functions, Equations, and Inequalities. Class 2 – Identifying Intercepts
Mr. Solórzano – Algebra 1

3. Essential Question Objectives Identify x and y intercepts
Interpret intercepts of linear equations
Graphing Linear Equations using intercepts
Essential Question
What are x and y intercepts useful for and how can I find them?

4. Determining Intercepts of Linear Equations
The y-intercept of a graph is the y-coordinate of the point where the graph intersects the y-axis. The x-coordinate of this point is always 0.
The x-intercept of a graph is the x-coordinate of the point where the graph intersects the x-axis. The y-coordinate of this point is always 0.

5. Find the x- and y-intercepts
A) 3x - 2y = 6

6. Find the x- and y-intercepts
B) -5x + 6y = 60

7. Video – Determining Intercepts of Linear Equations

8. Interpreting and Graphing Intercepts of Linear Equations
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.

9. 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.

10. Video – Interpreting Intercepts of Linear Equations

11. Graphing Linear Equations Using Intercepts

13. Video – Graphing Linear Equations Using Intercepts

14. Your Turn
1)Find x and y intercepts A) 8x + 7y = 28 B) -6x - 8y = 24 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 = 𝟓 𝟐 x - 70 gives the temperature y in degrees Celsius x hours after the experiment begins. Find and interpret the x- and y-intercepts. 3) Use intercepts to graph 3y = - 5x - 30.

15. Closing Activity
What are x and y intercepts useful for and how can I find them?