# How do you find the slope of a line segment connecting points (-3,4) & (7,-16)?

May 11, 2016

The slope $= - 2$

#### Explanation:

The coordinates are:
( - 3 , 4 ) = color(blue)(x_ 1 , y _ 1

( 7 , -16 ) = color(blue)(x_ 2 , y _2

The slope is calculated using formula:
Slope = color(blue)((y_2 - y_1) / (x_2 - x_1)

$= \frac{- 16 - 4}{7 - \left(- 3\right)}$

$= \frac{- 20}{7 + 3}$

$= \frac{- 20}{10}$

$= - \frac{\cancel{20}}{\cancel{10}}$

The slope $= - 2$