Question 228514
Determine the slope of the line passing through each pair of points
(-7,6) and (5,2) (Graphing)


Step 1.  The slope of the line m is given as


{{{ m=(y2-y1)/(x2-x1)}}}


where for our example is x1=-7 y1=6, x2=5 and y2=2 (think of {{{slope=rise/run}}}).  You can choose the points the other way around but be consistent with the x and y coordinates.  You will get the same result.


Step 2.  Substituting the above values in the slope equation gives


{{{m=(2-6)/(5-(-7))}}}


{{{m=-4/12=-1/3}}}


Step 3.  The slope m is calculated as {{{-1/3}}}.


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J