Question

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

answers:

y = 1/2x - 3

4x - 8y = 24

4x - 8y - 24 = 0

-8y = -4x + 24

Answer 1

To transform the equation \( 4x - 8y = 24 \) to slope-intercept form (which is \( y = mx + b \)), follow these steps:

1. Start with the original equation:
\[
4x - 8y = 24
\]

2. Isolate the \( y \)-term by subtracting \( 4x \) from both sides:
\[
-8y = -4x + 24
\]

3. Divide every term by \(-8\) to solve for \( y \):
\[
y = \frac{-4x}{-8} + \frac{24}{-8}
\]
Simplifying this gives:
\[
y = \frac{1}{2}x - 3
\]

So, the correct transformation of the equation to slope-intercept form is:
\[
y = \frac{1}{2}x - 3
\]

The correct answer from your provided options is:
**y = 1/2x - 3**.

Answer 2

you sure

Answer 3

Yes, I'm sure! The transformation of the equation \( 4x - 8y = 24 \) to slope-intercept form (which is \( y = mx + b \)) was done correctly.

Here's a quick recap of the steps:

1. Start with the original equation:
\[
4x - 8y = 24
\]

2. Rearranging to isolate \( y \):
- Subtract \( 4x \) from both sides:
\[
-8y = -4x + 24
\]
- Divide every term by \(-8\):
\[
y = \frac{-4x}{-8} + \frac{24}{-8}
\]

3. Simplification leads to:
\[
y = \frac{1}{2}x - 3
\]

This confirms that the slope-intercept form of the equation is indeed:
\[
y = \frac{1}{2}x - 3
\]

If you have any more questions or need further clarification, feel free to ask!