What is the slope of the line passing through the following points: # (4,7) ,(1,-1) #?

1 Answer
Dec 29, 2015

The slope, #m#, is #8/3#.

Explanation:

The equation to find the slope of a line from two points is #m=(y_2-y_1)/(x_2-x_1)#, where #m# is the slope, #(x_1,y_1)# is the first point, and #(x_2,y_2)# is the second point.

First point: #(4,7)#
Second point: #(1,-1)#

Substitute the given values into the equation.

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

#m=(-1-7)/(1-4)#

Simplify.

#m=(-8)/(-3)#

Simplify.

#m=8/3#

Note: It doesn't matter which point is first or second, as long as you are consistent.