Answer:
x-intercept: 36
y-intercept: 9
Step-by-step explanation:
Hi there!
What we need to know:
- The x-intercept occurs when y=0
- The y-intercept occurs when x=0
1) Determine the x-intercept
[tex]x + 4y = 36[/tex]
Plug in 0 for y
[tex]x + 4(0) = 36\\x=36[/tex]
Therefore, the x-intercept is 36.
2) Determine the y-intercept
[tex]x + 4y = 36[/tex]
Plug in 0 for x
[tex]0 + 4y = 36\\4y = 36[/tex]
Divide both sides by 4
[tex]y=9[/tex]
Therefore, the y-intercept is 9.
I hope this helps!
