Question 224545
The slope of the line joining the point (-2,-3) and (4,-1) is?


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


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


where for our example is x1=-2, y1=-3, x2=4 and y2=-1 (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=(-1-(-3))/(4-(-2))}}}


{{{m=(-1+3)/(4+2)=2/6=1/3}}}


Step 3.  ANSWER:  The slope is calculated as {{{1/3}}} or {{{m=1/3}}}


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J