What is the slope of the line passing through the following points: # (-2,8) , (-1,4)#?

1 Answer
Meave60
Dec 20, 2015

#m=-4#

Explanation:

Use the equation #m=(y_2-y_1)/(x_2-x_1)#, where #m# is the slope, and one point is #(x_1,y_1)# and the other point is #(x_2,y_2)#. (It doesn't matter which point is which as long as you are consistent.

Let Point 1#=##(-2,8)#.
Let Point 2#=##(-1,4)#.

Substitute the #x# and #y# values into the equation.

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

#m=(4-8)/(-1-(-2)#

Simplify.

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

Simplify.

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

Simplify.

#m=(-4)/1#

Simplify.

#m=-4#

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