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 isolate y on one side of the equation.

Starting with 4x - 8y = 24:

Step 1: Subtract 4x from both sides to move the x term to the other side:
-8y = -4x + 24

Step 2: Divide both sides by -8 to isolate y:
y = (-4x + 24)/-8

Step 3: Simplify the right side of the equation:
y = (-1/2)x + 3

The equation is now in slope-intercept form, y = mx + b, where m is the slope (-1/2) and b is the y-intercept (3).