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

1 answer

To transform the given equation to slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, you need to solve the equation for y.

Starting with:
4x - 8y = 24

First, subtract 4x from both sides to isolate the -8y term:
-8y = -4x + 24

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

Simplifying further:
y = (-4/-8)x + 24/-8
y = 1/2x - 3

Therefore, the equation is now in slope-intercept form: y = 1/2x - 3.
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