What is the slope of the line passing through the following points: (1,-4) , (5,-13) ?

2 Answers
May 19, 2018

$m = - \frac{9}{4}$

Explanation:

Formula for slope is:

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

in your case we have:

${x}_{1} = 1$
${y}_{1} = - 4$
${x}_{2} = 5$
${y}_{2} = - 13$

$m = \frac{- 13 - \left(- 4\right)}{5 - 1}$

$m = \frac{- 9}{4}$

May 19, 2018

Slope of the line is color(maroon)(m = -9/4

Explanation:

Formula for finding slope of a line segment knowing coordinates of two points on it is

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

Given $\left({x}_{1} , {y}_{1}\right) = \left(1 , - 4\right) , \left({x}_{2} , {y}_{2}\right) = \left(5 , - 13\right)$

$m = \frac{- 13 - \left(- 4\right)}{5 - 1}$

color(maroon)(m = -9/4