Respuesta :

Answer:

  • The x-intercept is (4, 0)
  • The y-intercept is (0, 12)

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)

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