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

Nov 29, 2015

Slope=$- \frac{7}{2}$ or $- 3.5$

#### Explanation:

We want to change this equation into the form of $y = m x + b$ where $m$ is the slope($\frac{r i s e}{r u n}$).

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

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

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

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

$\frac{2 y}{2} = \frac{- 7 x}{2} + \frac{14}{2}$

$y = - \frac{7}{2} x + 7$

So according to our formula of y=mx+b, where $m$ is slope, our slope is $- \frac{7}{2}$ which would also be $- 3.5$.