Question

What is the slope-intercept form of `5x - 3y = -15`?

Answer 1

`y=5/3x+5`

Explanation:

Recall that the slope-intercept form of a linear equation follows the general formula:

`color(blue)(|bar(ul(color(white)(a/a)y=mx+bcolor(white)(a/a)|)))`

Given,

`5x-3y=-15`

Your goal is to isolate for `y`. Thus, subtract both sides of the equation by `5x`.

`5xcolor(white)(i)color(red)(-5x)-3y=color(red)(-5x)-15`

`-3y=-5x-15`

Divide both sides by `-3y`.

`color(red)((color(black)(-3y))/(-3))=color(red)(color(black)(-5x-15)/(-3))`

`color(green)(|bar(ul(color(white)(a/a)color(black)(y=5/3x+5)color(white)(a/a)|)))`