How do you find the slope of the line through the points ( 6, -6) and ( 4, 5)?

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Answer 1 · 2018-07-19T01:40:14

The slope is #11/-2# or #-5.5#.

To find the slope given two points, we use the formula #"rise"/"run"#, or #(y_2-y_1)/(x_2-x_1)#.

Plug in the given points into the formula:
#(5-(-6))/(4-6) = 11/-2#

Therefore, the slope is #11/-2# or #-5.5#.

Hope this helps!

Answer 2 · 2018-07-19T02:14:07

#-11/2#

To find the slope between two points, we can use the formula

#(Deltay)/(Deltax)#

Where the Greek letter Delta (#Delta#) is shorthand for "change in".

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

We go from #y=-6# to #y=5#, which represents a #Deltay# of #11#.

We go from #x=6# to #x=4#, which represents a #Deltax# of #-2#.

Therefore, our slope is #-11/2#.

Hope this helps!