How do you find the slope of the line that passes through each pair of points. (4, -1),(6, -6)?

May 17, 2016

The slope $= - \frac{5}{2}$

Explanation:

The coordinates are:
( 4 , -1 ) = color(blue)(x_1,y_1

( 6 , -6 ) = color(blue)(x_2,y_2

The slope is calculated using formula:

Slope =color(blue)((y_2- y_1) / ( x_2- x_1)

$= \frac{- 6 - \left(- 1\right)}{6 - 4}$

$= \frac{- 6 + 1}{2}$

$= \frac{- 5}{2}$

The slope $= - \frac{5}{2}$