What is the slope of the line passing through the following points: #(-2, -4) , (4,-1) #?

1 Answer
Meave60
Dec 8, 2015

The slope, #m#, is #1/2#.

Explanation:

The equation for finding the slope when you have two points on a line is #m=(y_2-y_1)/(x_2-x_1)#, where #m# is the slope, #(x_1,y_1)# is one point, and #(x_2,y_2)# is the other point.

Point 1:#(-2,-4)#
Point 2:#(4,-1)#

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

Substitute the known values into the equation.

#m=(-1-(-4))/(4-(-2))#

Simplify.

#m=(-1+4)/(4+2)#

Simplify.

#m=3/6#

Simplify.

#m=1/2#

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