Question

Find the x- and y-intercepts for the linear equation –3x + 4y = 24.
please show me the steps

Answer 1

x-intercept is (-8, 0) and the y-intercept is (0, 6).

Explanation:

To find the x-intercept, we set y = 0 and solve for x:

-3x + 4(0) = 24

-3x = 24

x = -8

So the x-intercept is (-8, 0).

To find the y-intercept, we set x = 0 and solve for y:

-3(0) + 4y = 24

4y = 24

y = 6

So the y-intercept is (0, 6).

Therefore, the x-intercept is (-8, 0) and the y-intercept is (0, 6).