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

1 Answer
Nov 29, 2015

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.