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# What is the slope of the line that passes through (3,5) and (-2, 10)?

Mar 13, 2018

$m = - 1$

#### Explanation:

The slope of the line that passes through $\left({x}_{1} , {y}_{1}\right) \mathmr{and} \left({x}_{2} , {y}_{2}\right)$ :
$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

In your case: $m = \frac{10 - 5}{- 2 - 3}$

$m = - 1$

Mar 13, 2018

$\text{slope } = - 1$

#### 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)

$\text{let "(x_1,y_1)=(3,5)" and } \left({x}_{2} , {y}_{2}\right) = \left(- 2 , 10\right)$

$\Rightarrow m = \frac{10 - 5}{- 2 - 3} = \frac{5}{- 5} = - 1$