Find the x- and y-intercepts of : 4y-6x = 24

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!

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