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

1 Answer
Feb 1, 2016

slope#=-6/7#

Explanation:

Recall that the slope of a line can be calculated with the formula:

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

where:
#m=#slope
#(x_1,y_1)=(6,-1)#
#(x_2,y_2)=(-1,5)#

To find the slope of the line, substitute your known values into the formula:

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

#m=(5-(-1))/(-1-6)#

#m=6/-7#

#m=-6/7#

#:.#, the slope of the line that passes through the points is #-6/7#.