What is the slope of the line passing through the points #(- 1,7)# and #(3,- 6)#?

1 Answer
YoshiMan007
Nov 29, 2015

#m=-13/4#

Explanation:

You want to use the formula #m=(Deltay)/(Deltax)#. Since #Deltay=y_2-y_1# and #Deltax=x_2-x_1#, you can substitute that in.

Now, #m=(y_2-y_1)/(x_2-x_1)#.

Each point you were given is one part of that equation. Let's say the first point is #(x_1, y_1)# and the second point is #(x_2, y_2)#. Then, we can plug those values into our equation to get:

#m=(-6-7)/(3--1)#

Simply solving for #m#, we get:

#m=-13/4#

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