Question

find the x-intercept and the y-intercept of the graph of the equation. then graph it!

1. 3x - 5y = 18

x-intercept =
y-intercept =
use the graph to answer the following:

1. what does the x-axis represent?
2. what does the y-axis represent?
3. what is the y-intercept?
4. what does the y-intercept mean in this situation?
5. what is the x-intercept?
6. what does the x-intercept mean in this situation?

(graph: mr. kelly playing ddr at arcade, money (quarters) on one axis, time on the other with a line plotted)

Explanation:

Step1: Find x-intercept (y=0)

Substitute \( y = 0 \) into \( 3x - 5y = 18 \):
\( 3x - 5(0) = 18 \)
\( 3x = 18 \)
\( x = \frac{18}{3} = 6 \)

Step2: Find y-intercept (x=0)

Substitute \( x = 0 \) into \( 3x - 5y = 18 \):
\( 3(0) - 5y = 18 \)
\( -5y = 18 \)
\( y = \frac{18}{-5} = -3.6 \)

Answer:

x-intercept = \( 6 \)
y-intercept = \( -3.6 \)