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} (-8y)/(-8)=(-64)/(-8)-(5x)/(-8) \\ \\ y\text{ = }8\text{ + }(5)/(8)x \end{gathered}`

Rewriting, we have:

`y\text{ = }(5)/(8)x\text{ + 8}`

ANSWER:

`y\text{ = }(5)/(8)x\text{ + 8}`