Answer:
y-intercept: (0,-4)
x-intercept: (-9,0)
Step-by-step explanation:
To find the y and x intercepts, simply plug in 0 for x or y in the equation.
y-intercept:
[tex]-\frac{4}{3} x - 3y = 12[/tex]
[tex]-\frac{4}{3} (0) - 3y = 12[/tex]
[tex]0 - 3y = 12[/tex]
[tex]-3y = 12[/tex]
[tex]y = -4[/tex]
(0,-4)
x-intercept
[tex]-\frac{4}{3} x - 3y = 12[/tex]
[tex]-\frac{4}{3} x - 3(0) = 12[/tex]
[tex]-\frac{4}{3} x - 0 = 12[/tex]
[tex]-\frac{4}{3} x = 12[/tex]
[tex]-4x = 36[/tex]
[tex]x = -9[/tex]
(-9,0)
