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

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Answer 1 · 2015-11-29T06:00:30

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

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

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

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

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

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

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

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

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