SOLUTION: Find the slope of the line through P and Q. P(−9, 1), Q(7, −4)

Algebra ->  Equations -> SOLUTION: Find the slope of the line through P and Q. P(−9, 1), Q(7, −4)      Log On


   



Question 1182354: Find the slope of the line through P and Q.
P(−9, 1), Q(7, −4)

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
Find the slope of the line through P and Q.
P(−9, 1), Q(7, −4)
~~~~~~~~~~~~~~~~~~~~~

The formula for the slope of a straight line passing through two given points    (x%5B1%5D,y%5B1%5D)    and    (x%5B2%5D,y%5B2%5D)    is

    m = %28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29.



In your case, x%5B1%5D = -9,  y%5B1%5D = 1,  x%5B2%5D = 7,  y%5B2%5D = -4,



Substitute these values into the formula and calculate


    m = %28-4+-+1+%29%2F%287-%28-9%29%29 = -5%2F16.


Answer.  The slope is -5%2F16.

Solved and explained.

----------------

See the lesson
    - Find the slope of a straight line in a coordinate plane passing through two given points
in this site.