What is the slope of the line passing through the following points: # (5, -6) , (-8, 1)#?

1 Answer
Feb 7, 2016

#-7/13 #

Explanation:

To find the gradient (slope ) of a line passing through 2 points use the #color(blue)(" gradient formula") #

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

where # (x_1 , y_1 ) , (x_2 , y_2 )color(black)(" are coords of 2 points ") #

let # (x_1 , y_1 ) = (5 , -6 )color(black)(" and ") (x_2,y_2) = (-8 , 1 )#

substitute into gradient formula :

#rArr m = (1-(-6))/(-8-5) = 7/-13 = -7/13 #