Answer:
x-intercept: (-4, 0)
y-intercept: (0, 6)
Step-by-step explanation:
4y - 6x = 24
To find the x-intercept, set the y value equal to 0.
4(0) - 6x = 24
Simplify by removing 4(0) since it just equals 0.
-6x = 24
Divide both sides of the equation by -6
x = -4
Since we set y equal to 0 and we know that the x value is -4, we can create a coordinate for the x-intercept of the equation.
(x, y) = (-4, 0)
Repeat the process for finding the y-intercept, but set x equal to 0.
4y - 6(0) = 24
4y - 0 = 24
4y = 24
Divide both sides of the equation by 4
y = 6
Write as a coordinate/intercept.
(x, y) = (0, 6)
Let me know if you have any questions!