Question

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

Answer 1

Explanation:

-3x+4y-4y=24-4y

-3x=24-4y

-3x/4=24/4-4y/4

-3x/4=6-y

-3x/4+6=-y

Answer 2

x- intercept = - 8, y- intercept = 6

Explanation:

To find the x- intercept let y = 0 and solve for x

- 3x + 4(0) = 24

- 3x = 24 ( divide both sides by - 3 )

x = - 8 ← x- intercept

To find the y- intercept let x = 0 and solve for y

- 3(0) + 4y = 24

4y = 24 ( divide both sides by 4 )

y = 6 ← y- intercept