Transform the linear equation 4x−8y=24 to slope-intercept form.(1 point)

Responses

4x−8y−24=0
4 x minus 8 y minus 24 equals 0

−8y=−4x+24
negative 8 y equals negative 4 x plus 24

y=12x−3
y equals Start Fraction 1 over 2 End Fraction x minus 3

4x−8y=24

1 answer

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

To do this, we can isolate the y-term by subtracting 4x from both sides of the equation:

-8y = -4x + 24

Next, divide both sides of the equation by -8 to solve for y:

y = (-4x + 24) / -8

This can also be simplified as:

y = 1/2x - 3

Therefore, the linear equation 4x - 8y = 24 in slope-intercept form is y = 1/2x - 3.