Question

Transform the linear equation 4x8y 24 to slope-intercept form. (1 point)

y= 1/2x -3

-8y=-4x+24

4x-8y=24

4x-8y-24 = 0

Answer 1

To transform the equation \( 4x - 8y = 24 \) into slope-intercept form (which is \( y = mx + b \)), we will solve for \( y \).

Starting with the original equation:

\[
4x - 8y = 24
\]

First, isolate the term with \( y \) by subtracting \( 4x \) from both sides:

\[
-8y = -4x + 24
\]

Next, divide every term by \(-8\) to solve for \( y \):

\[
y = \frac{-4x}{-8} + \frac{24}{-8}
\]

This simplifies to:

\[
y = \frac{1}{2}x - 3
\]

Thus, the equation in slope-intercept form is:

\[
y = \frac{1}{2}x - 3
\]

So the final answer is:

**y = 1/2x - 3**.