SOLUTION: Find the slope, if it exsists, of the line containing the pair of points. (3,10) and (9,-5) I thought maybe the formula to use would be y-y=m(x-x) but I am not sure.

Algebra ->  Linear-equations -> SOLUTION: Find the slope, if it exsists, of the line containing the pair of points. (3,10) and (9,-5) I thought maybe the formula to use would be y-y=m(x-x) but I am not sure.      Log On


   



Question 173789: Find the slope, if it exsists, of the line containing the pair of points.
(3,10) and (9,-5)
I thought maybe the formula to use would be y-y=m(x-x) but I am not sure.

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
you are correct in the formula it is y-k=m(x-h) where m is the slope and (h,k) is any point on the line.
:
But first we must find the slope which is change in y over change in x.
:
m=(-5-10)/(9-3)=-15/6=highlight%28-5%2F2%29
:
lets use (9,-5)as our point
:
y-(-5)=(-5/2)(x-9)
:
y+5=(-5/2)x+45/2....lets multiply all terms by 2
:
2y+10=-5x+45
:
highlight%285x%2B2y=35%29