Question

How do you find the slope given 7x+2y=14?

Answer 1

Slope=`-7/2` or `-3.5`

Explanation:

We want to change this equation into the form of `y=mx+b` where `m` is the slope(`(rise)/(run)`).

First we are given with the original equation of `7x+2y=14`
Now lets convert that into `y=mx+b` form

Step 1: Lets try to Isolate the `2y` by subtracting `7x` from both sides.

Original equation: `7x+2y=14`
`7x-7x+2y=14-7x`
`2y=-7x+14`

Step 2: Isolate `y` by dividing `2` from both sides
`2y=-7x+14`

`(2y)/2=(-7x)/2+(14)/2`

`y=-7/2x+7`

So according to our formula of y=mx+b, where `m` is slope, our slope is `-7/2` which would also be `-3.5`.