# What is the slope of the line passing through # (3,7) ; (-5,-9) #?

##### 1 Answer

Jan 29, 2016

slope = 2

#### Explanation:

The slope of a line joining 2 points can be calculated using the

#color(blue)(" gradient formula ")#

# m =( y_2 -y_1)/(x_2 - x_1) # where

#(x_1 , y_1 ) color(black)( " and ") (x_2 , y_2 ) # are 2 points.

let

# (x_1 , y_1 ) = (3 , 7 ) , (x_2 , y_2 ) =(- 5 , - 9 ) # hence m

# = ( - 9 - 7 )/( - 5 - 3 ) = (-16)/-8 = 2 #