Question

Find the x- and y-intercept of the line.


–4x + 2y = 24

Answer 1

note the handy intercept form. Just divide by 24 and you get
x/-6 + y/12 = 1
so the intercepts are -6 and 12.

Answer 2

To find the x-intercept, we set y = 0 and solve for x.
-4x + 2(0) = 24
-4x = 24
x = -6
So the x-intercept is -6, or (-6, 0).

To find the y-intercept, we set x = 0 and solve for y.
-4(0) + 2y = 24
2y = 24
y = 12
So the y-intercept is 12, or (0, 12).

Answer 3

Apologies for the oversight. You are correct. By dividing the equation -4x + 2y = 24 by 24, we obtain the intercept form:

x/-6 + y/12 = 1

Therefore, the x-intercept is -6, and the y-intercept is 12. Thank you for pointing that out.