# What is the slope of a line that with the points (1,2) and (2,0)?

Mar 27, 2016

slope = -2

#### Explanation:

To find the gradient (slope) of a line passing through 2 points , use the $\textcolor{b l u e}{\text{ gradient formula }}$

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

where $\left({x}_{1} , {y}_{1}\right) \text{ and " (x_2,y_2)" are the coords of 2 points }$

let $\left({x}_{1} , {y}_{1}\right) = \left(1 , 2\right) \text{ and } \left({x}_{2} , {y}_{2}\right) = \left(2 , 0\right)$

now substitute these values into the formula

$\Rightarrow m = \frac{0 - 2}{2 - 1} = \frac{- 2}{1} = - 2$