# What is the slope of the line passing through the following points:  (1,4), (-2,-5) ?

Mar 10, 2018

$\text{slope } = 3$

#### 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)

$\text{let "(x_1,y_1)=(1,4)" and } \left({x}_{2} , {y}_{2}\right) = \left(- 2 , - 5\right)$

$\Rightarrow m = \frac{- 5 - 4}{- 2 - 1} = \frac{- 9}{- 3} = 3$

Mar 10, 2018

$m = 3$

#### Explanation:

We know that ,the slope of the line passing through $A \left({x}_{1} , {y}_{1}\right) \mathmr{and} B \left({x}_{2} , {y}_{2}\right)$, is
$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$,
Here,$A \left(1 , 4\right) \mathmr{and} B \left(- 2 , - 5\right)$
$\therefore m = \frac{- 5 - 4}{- 2 - 1} = \frac{- 9}{- 3} = 3$