How do you find the slope given (2, -10) (-1, 5)?

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Answer 1 · 2018-07-08T16:54:10

#m=-5#

Slope is given by the formula

#(Deltay)/(Deltax)#, where the Greek letter Delta represents "change in".

We just find out how much our #y# changes by, and divide it by how much our #x# changes by.

In our example, #x# goes from #2# to #-1#, which represents a decrease in #3#. So we can say #Deltax=-3#.

On the other hand, #y# goes from #-10# to #5#, which represents an increase in #15#. We can say #Deltay=15#.

We can plug these values into our slope formula to get

#m=15/-3=-5#

Therefore, our slope is #-5#.

Hope this helps!