Question

Find the x intercept and y intercept of
3x - 9y =18

Answer 1

y-intercept: (0, -2)

x-intercept: (6, 0)

Explanation:

The y-intercept is the value of y when x =0. Substitute 0 for x to find the y-intercept.

`3x - 9y = 18`

`3(0) - 9y = 18`

`- 9y = 18`

`y = - 2`

When x = 0, y = - 2 so the y-intercept is (0, - 2).

The x-intercept is the value of x when y = 0. Substitute 0 for y in the equation to find the x-intercept.

`3x - 9y = 18`

`3x - 9(0) = 18`

`3x = 18`

`x = 6`

When y = 0, x = 6 so the x-intercept is (6, 0).