Question

2) Convert from standard form to slope-intercept form. 5x-8y = -64

Answer 1

Given:

5x - 8y = -64

Use the slope intercept form:

y = mx + b

Now let's rewrite the equation in terms of y:

5x - 8y = -64

First SteP:

Subtract 5x from both sides

5x - 5x - 8y = -64 - 5x

-8y = -64 - 5x

Second Step:

Divide both sides by -8

$\begin{gathered} \frac{-8y}{-8}=\frac{-64}{-8}-\frac{5x}{-8} \\ \\ y\text{ = }8\text{ + }\frac{5}{8}x \end{gathered}$

Rewriting, we have:

$y\text{ = }\frac{5}{8}x\text{ + 8}$

ANSWER:

$y\text{ = }\frac{5}{8}x\text{ + 8}$