# How do you find the slope of (2, 0) and (3, -3)?

Feb 2, 2016

Slope is -3 or $m = - 3$

#### Explanation:

For finding slope, you need to follow this simple formula which is:

$\frac{{y}_{1} - {y}_{2}}{{x}_{1} - {x}_{2}}$ or if you understand this, $\frac{\Delta y}{\Delta x}$ which means change in y over change in x, you can do that too.

The y represents the y values (the second number) in the ordered pairs and the x represents the x values (the first number). By inputting the numbers into the formula, it should look like this:

$\frac{0 - \left(- 3\right)}{2 - 3}$ = $\frac{0 + 3}{2 - 3}$= $\frac{3}{-} 1$ = $- 3$

There's no specific ${y}_{1}$ or ${y}_{2}$, you just name one of the y values ${y}_{1}$ and the other y value ${y}_{2}$. Same thing for x. For example, this is what happens if I switch it:

$\frac{- 3 - 0}{3 - 2}$ = $\frac{- 3}{3 - 2}$= $- \frac{3}{1}$ = $- 3$

You get the same answer!
I hope this helps!

Here's a song thing that might help:
Change in y over change in x,
Rise over run but what happens next?,
divide the two, and then reduce
then you got slope, slope, slope, slope, slope, slope, slope.

(Its a parody of the song "Low")