Question

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

Answer 1

To transform the linear equation 4x - 8y = 24 to slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to solve for y.

First, add 8y to both sides of the equation:
4x - 8y + 8y = 24 + 8y
4x = 8y + 24

Next, divide by 8 to isolate y:
4x/8 = y + 3
y = 0.5x + 3

Therefore, the equation 4x - 8y = 24 is transformed to slope-intercept form as y = 0.5x + 3.