Answer:
Step-by-step explanation:
Given the equation
[tex]9x+3y=36[/tex]
Determining the x-intercept
We know that the x-intercept can be obtained by setting y=0 and
solving for x.
Putting y=0
[tex]9x+3(0)=36[/tex]
9x=36
x=4
Thus, the x-intercept is (4, 0)
Determining the y-intercept
We know that the y-intercept can be obtained by setting x=0 and
solving for y.
Putting x=0
[tex]9(0)+3y=36[/tex]
3y=36
y=12
Thus, the y-intercept is (0, 12)