Question

Fine the x- and y-intercept of the line x+4y=36

Answer 1

The x-intercept is found when y = 0.

Plug in 0 for y:


`x + 4(0) = 36`

`x = 36`

The x-intercept is (36,0).

The y-intercept is found when x = 0.

Plug in 0 for x:


`0 + 4y = 36`

`4y = 36`

Divide both sides by 4 to get y by itself:


`y = 9`

The y-intercept is (0,9).

Answer 2

x + 4y = 36

To find the x intercept, plug in 0 for y and solve for x.
x + 4(0) = 36
x = 36
The x intercept is (36, 0).

To find the y intercept, plug in 0 for x and solve for y.
0 + 4y = 36
Divide both sides by 4.
y = 9
The y intercept is (0, 9).