Question

How do you find the slope given 3x+4y=22?

Answer 1

`-3/4`

Explanation:

To determine the slope, we need to put this business in slope-intercept form, that is, `y=mx+b`. Let's start by subtracting `3x` from both sides. We get

`4y=-3x+22`

Lastly, we can divide everything by `4` to get

`y=-3/4x+11/2`

Our slope is given by the coefficient of `x`, thus the slope is

`-3/4`

Hope this helps!