1. 3-1 Finding Intercepts Goal:
Find the x and y intercepts of an equation.
Eligible Content:
A / A

2. Vocabulary x-intercept – the point that a line crosses the x-axis.
(-2, 0)
y is always 0
y-intercept – the point that a line crosses the y-axis.
(0, 4)
x is always 0

3. Finding Intercepts of a Graph
What are the x and y intercepts of the graph? x-intercept: (4, 0) y-intercept: (0, 200)

4. Find the x- and y-intercepts of the graphed segment.
A. x-intercept is (10, 0) y-intercept is (0, 250)
B. x-intercept is (10, 0) y-intercept is (0, 10)
C. x-intercept is (250, 0) y-intercept is (0, 10)
D. x-intercept is (5, 0) y-intercept is (0, 10)

5. Finding Intercepts of a Table
Use the table to determine the x and y intercepts. x-intercept: (500, 0) y-intercept: (0, 2000)

6. x-intercept (5,0); y-intercept (0,125)
Jules has a gas card for a local gas station. The table shows the function relating the amount of money on the card and the number of times he has stopped to purchase gas. Determine the x- and y-intercepts of the graph of the function.
x-intercept (5,0); y-intercept (0,125)
x-intercept (5,0); y-intercept (0,5)
x-intercept (125,0); y-intercept (0,5)
x-intercept (5,0); y-intercept (0,10)

7. Finding Intercepts of an Equation
x-intercept – let y = 0 and solve for x
y-intercept – let x = 0 and solve for y
Your answers should be ordered pairs!!!
x-intercepts: (#, 0)
y-intercepts: (0, #)

8. Find the x and y intercepts of 4x + 5y = 40.
x-intercept: y = 0 4x + 5•0 = 40 4x = x = 10 (10, 0)
y-intercept: x = 0 4•0 + 5y = 40 5y = y = 8 (0, 8)

9. Examples Find the x and y intercepts: 2x + 3y = 6 - 3.5x + 7y = 14
(3, 0) & (0, 2)
- 3.5x + 7y = 14
(-4, 0) & (0, 2)
y = 4x + 40
(-10, 0) & (0, 40)
4x – 3y = 24
(6, 0) & (0, -8)

10. Practice
Pages #5,6,51-56

11. Homework
Worksheet – “3-1 Finding Intercepts”