Answer:
x-intercept: (-6,0)
y-intercept: (0,-8)
Explanation:
The x-intercept is when y = 0.
The y-intercept is when x = 0.
Each intercept can be solved with substitution in the standard form equation.
Given the re-arranged standard form equation is
-3y = 4x + 24
With a standard form equation being in the form:
Ax + By = C.
-3y = 4x + 24 →
-3y – 24 = 4x + 24 – 24 →
-3y – 24 = 4x →
-3y + 3y – 24 = 4x + 3y →
-24 = 4x + 3y →
4x + 3y = -24
x-intercept:
given y = 0
4x + 3(0) = -24 →
4x = 24 →
4x / 4 = -24 / 4 →
x = -6 →
(-6, 0)
y-intercept:
given x = 0
4(0) + 3y = -24 →
3y = -24 →
3y / 3 = -24 / 3 →
y = -8 →
(0, -8)