Question

What is the slope-intercept form of `5x+y/5=17`?

Answer 1

The slope intercept form is `y=-25x+85`, where `-25` is the slope and `85` is the y-intercept.

Explanation:

`5x+y/5=17` is the standard form for a linear equation. To convert it to slope intercept form, solve for `y`.

`5x+y/5=17`

Subtract `5x` from both sides.

`y/5=-5x+17`

Multiply both sides by `5`.

`y=(5)(-5x)+17(5)`

Simplify.

`y=-25x+85`

Answer 2

The slope-intercept form of `5x + y/5 = 17` is `y =-25x + 85`.

Explanation:

The equation of any given line in slope-intercept form is:

`y = mx + b`

The slope is represented by `m` and the y-intercept is `b`.

The bottom line is, we want to isolate `y`. So let's do it! (:

`5x + y/5 = 17` Given

`y/5 = -5x + 17` Subtract `5x` From Both Sides

`y = -25x + 85` Isolate `y` By Multiplying By `5`

So, the slope-intercept form of `5x + y/5 = 17` is `y =-25x + 85`.