Question

What are the x and y-intercepts for the linear equation: 9x+3y=36?

Answer 1

• The x-intercept is (4, 0)

• The y-intercept is (0, 12)

Explanation:

Given the equation

`9x+3y=36`

Determining the x-intercept

We know that the x-intercept can be obtained by setting y=0 and

solving for x.

Putting y=0

`9x+3(0)=36`

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

`9(0)+3y=36`

3y=36

y=12

Thus, the y-intercept is (0, 12)