What are the coordinates for the x and y intercepts of the function 4y - 2x = 24?

First, let's put this in Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

4y - 2x = 24 Add 2x to both sides

4y = 2x + 24 Divide both sides by 4

y = (1/2) x + 6

Now that we're in slope-intercept we can easily find the y and x intercepts/

b = 6, so the y-intercept equals 6. Plug zero in for x to confirm!

Now we plug 0 in for y to find the x intercept:

0 = (1/2) x + 6 Subtract 6 from both sides

-6 = (1/2) x Multiply both sides by 2

-12 = x

The x intercept is - 12

In Conlusion:

x-intercept = - 12

y - intercept = 6

For 4y, I believe the coordinates are (4,6) and the coordinates for 2x are (2,12). This is my best guess. Let me know if I'm wrong.