# What is the slope of the line between  (5,18)  and  (52,2 ) ?

Feb 3, 2016

The slope is $- \frac{16}{47}$.

#### Explanation:

To find the slope of a line from two points, use the following equation, $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$, where $m$ is the slope, $\left({x}_{1} , {y}_{1}\right)$ is one point, and $\left({x}_{2} , {y}_{2}\right)$ is the other point.

Let $\left(5 , 18\right)$ be point 1, and $\left(52 , 2\right)$ be point 2.

(It doesn't matter which point is which. you could easily reverse the points andl get the same answer.)

Substitute the known values into the equation and solve.

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

$= \frac{2 - 18}{52 - 5}$

Simplify.

$m = - \frac{16}{47}$