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

Answer 1

To transform the equation 4x - 8y = 24 to slope-intercept form, which is in the form y = mx + b, we need to solve for y.

First, isolate y by subtracting 4x from both sides:
-8y = -4x + 24

Next, divide every term by -8 to solve for y:
y = (-4x + 24)/-8

Simplifying the equation further, we have:
y = -1/2x + 3

Therefore, the equation 4x - 8y = 24, when transformed to slope-intercept form, becomes y = -1/2x + 3.