Transform the linear equation 4x-8y=24 to slope-intercept form.

Answer 1

To transform the equation 4x - 8y = 24 to slope-intercept form, we need to solve for y.

Starting with the given equation:
4x - 8y = 24

First, let's isolate the variable y by subtracting 4x from both sides of the equation:
-8y = -4x + 24

Next, divide the entire equation by -8 to solve for y:
y = (-4x + 24) / -8

Simplifying the expression on the right side, we get:
y = -4x/(-8) + 24/(-8)

Simplifying further:
y = 0.5x - 3

Therefore, the given linear equation 4x - 8y = 24 can be transformed to slope-intercept form as y = 0.5x - 3.