2. Main Idea and New Vocabulary
Example 1: Graph a Function Using Intercepts
Example 2: Graph a Function Using Intercepts
Example 3: Using Intercepts
Example 4: Using Intercepts
Lesson Menu

3. Graph a function using the x- and y-intercepts.
standard form
x-intercept
Main Idea/Vocabulary

4. Graph a Function Using Intercepts
State the x- and y-intercepts of the function 2x − 3y = 6. Graph the function.
Step 1 Find the x-intercept.
To find the x-intercept, let y = 0.
2x – 3y = 6 Write the equation.
2x – 3(0) = 6 Replace y with 0.
2x = 6 Simplify.
x = 3 Divide each side by 2.
The x-intercept is 3.
Example 1

5. Graph a Function Using Intercepts
Step 2 Find the y-intercept.
To find the y-intercept, let x = 0.
2x – 3y = 6 Write the equation.
2(0) – 3y = 6 Replace x with 0.
–3y = 6 Simplify.
y = –2 Divide each side by –3.
The y-intercept is –2.
Example 1

6. Graph a Function Using Intercepts
Step 3 Graph the points (3, 0) and (0, –2) on a coordinate plane. Then connect the points.
Answer:
Example 1

7. A. x-intercept: 1; y-intercept: 4
State the x- and y-intercepts of the function –4x + y = 4. Graph the function.
A. x-intercept: 1; y-intercept: 4
B. x-intercept: –1; y-intercept: 4
C. x-intercept: 1; y-intercept: –4
D. x-intercept: –1; y-intercept: –4
Example 1 CYP

8. Graph a Function Using Intercepts
State the x- and y-intercepts of the function x + y = –3. Graph the function.
Step 1 Find the x- and y-intercepts.
x-intercept
y-intercept
Example 2

9. Graph a Function Using Intercepts
The x-intercept is –6. The y-intercept is –3.
Step 2 Graph the points (–6, 0) and (0, –3) on a coordinate plane. Then connect the points.
Answer:
Example 2

10. A. x-intercept: –4; y-intercept: 3
State the x- and y-intercepts of the function 3x – 4y = –12. Graph the function.
A. x-intercept: –4; y-intercept: 3
B. x-intercept: 4; y-intercept: 3
C. x-intercept: –3; y-intercept: 4
D. x-intercept: –3; y-intercept: –4
Example 2 CYP

11. Using Intercepts
SCHOOL PLAY The drama department sold $1,260 worth of tickets to a play. Student tickets x cost $5 and adult tickets y cost $9. This can be represented by the function 5x + 9y = 1,260. Use the x- and y-intercepts to graph the function.
x-intercept
5x + 9y = 1,260
5x + 9(0) = 1,260
5x = 1,260
x = 252
y-intercept
5x + 9y = 1,260
5(0) + 9y = 1,260
9y = 1,260
y = 140
Example 3

12. Answer: The x-intercept is 252. The y-intercept is 140.
Using Intercepts
Answer: The x-intercept is 252. The y-intercept is 140.
Example 3

13. MUSIC The Taylor family bought tickets to an outdoor concert by the school band. The cost of a student ticket is $3 and the cost of an adult ticket is $4. They spent a total of $36. This can be represented by the function 3x + 4y = 36. Use the x- and y-intercepts to graph the function.
A. C.
B. D.
Example 3 CYP

14. Using Intercepts
SCHOOL PLAY The drama department sold $1,260 worth of tickets to a play. Student tickets x cost $5 and adult tickets y cost $9. This can be represented by the function 5x + 9y = 1,260. Interpret the x- and y-intercepts.
Example 4

15. Using Intercepts
Answer: The x-intercept is the point (252, 0). This means that 252 student tickets and 0 adult tickets could be sold for the drama department to sell $1,260 worth of tickets.
The y-intercept is the point (0, 140). This means that 0 student tickets and 140 adult tickets could be sold for them to sell $1,260 worth of tickets.
Example 4

16. MUSIC The Taylor family bought tickets to an outdoor concert
MUSIC The Taylor family bought tickets to an outdoor concert. The cost of a student ticket is $3 and the cost of an adult ticket is $4. They spent a total of $36. This can be represented by the function 3x + 4y = 36. Which statement is true?
A. The y-intercept is the point (12, 0). This means that 12 adult tickets and 0 student tickets could be sold for $36.
B. The y-intercept is the point (9, 0). This means that 9 student tickets and 0 adult tickets could be sold for $36.
C. The x-intercept is the point (9, 0). This means that 9 student tickets and 0 adult tickets could be sold for $36.
D. The x-intercept is the point (12, 0). This means that 12 student tickets and 0 adult tickets could be sold for $36.
Example 4 CYP