Question

What are the x- and y-intercepts of y=-3x -9?

Answer 1

x-intercept: x = -3 → (-3, 0)

y-intercept: y = -9 → (0, -9)

Explanation:

x-intercept is for y = 0.

y-intercept is for x = 0.

y = -3x - 9

x-intercept (put y = 0):

0 = -3x - 9 add 9 to both sides

9 = -3x divide both sides by (-3)

-3 = x → x = -3

y-intercept (put x = 0):

y = -3(0) - 9

y = 0 - 9

y = -9

Answer 2

x-intercept (-3,0)

y-intercept (0,-9)

Explanation:

The x-intercepts can be found by setting y to 0 and solving for x.

y=-3x-9

0=-3x-9

Add 9 on both sides:

9=-3x

Divide both sides by -3:

9/-3=x

-3=x

The x-intercept is (-3,0).

The y-intercepts can be found by setting x to 0 and solving for y.

y=-3x-9

y=-3(0)-9

y=0-9

y=-9

The y-intercept is (0,-9).