# What is the slope of the line passing through the following points: (3,5) ; (1,0) ?

May 7, 2018

$\text{slope } = \frac{5}{2}$

#### Explanation:

$\text{to calculate the slope m use the "color(blue)"gradient formula}$

•color(white)(x)m=(y_2-y_1)/(x_2-x_1)

$\text{let "(x_1,y_1)=(3,5)" and } \left({x}_{2} , {y}_{2}\right) = \left(1 , 0\right)$

$\Rightarrow m = \frac{0 - 5}{1 - 3} = \frac{- 5}{- 2} = \frac{5}{2}$

May 7, 2018

The slope is $\frac{5}{2}$.

#### Explanation:

$\frac{{Y}_{2} - {Y}_{1}}{{X}_{2} - {X}_{1}} = m$, the slope

(3, 5) $\left({X}_{1} , {Y}_{1}\right)$
(1, 0) $\left({X}_{2} , {Y}_{2}\right)$

$\frac{0 - 5}{1 - 3}$ = $m$
$\frac{- 5}{- 2}$ = $m$
$m$ = $\frac{5}{2}$