Question

What is the slope-intercept form of `3x+5y=1`?

Answer 1

`3x+5y=1` in slope-intercept form is `y=-3/5x+1/5`.

Explanation:

A linear equation in slope intercept form is: `y=mx+b`. The given equation is in standard form, `Ax + Bx = C`. To convert from the standard from to the slope-intercept form, solve the standard form for `y`.

`3x+5y=1`

Subtract `3x` from both sides.

`5y=-3x+1`

Divide both sides by `5`.

`y=-3/5x+1/5`

The graph below shows the graph of both equations, which you can see is the same.

graph{(3x+5y-1)(y+3/5x-1/5)=0 [-10, 10, -5, 5]}

Answer 2

`y = -3/5x + 1/5`

Explanation:

First subtract `3x` from both sides, and you should have `5y = -3x + 1`. You are almost there to slope-intercept form, the `5y` needs to be just `y`. Divide by 5 on both sides (Make sure you divide `-3x` AND 1 by 5!). And then you have it in slope intercept form, `y = -3/5x + 1/5` .