# How do you find the slope given (16, 0) and (9, 2)?

##### 1 Answer
Nov 20, 2015

The slope is $- \frac{2}{7}$
The intercept is $\frac{32}{7}$

#### Explanation:

Equation for a linear function

$y = k \cdot x + m$

Where k is the slope and m is the intercept.

$k = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$
$k = \frac{2 - 0}{9 - 16} = - \frac{2}{7}$

The point (16,0) is on the line

$0 = - \frac{2}{7} \cdot 16 + m$
$m = \frac{2}{7} \cdot 16 = \frac{32}{7}$