SOLUTION: A line has a slope of 3. One of the points on the line is (2,-3). Another point on the line is (5,p). Find p.

Algebra ->  Graphs -> SOLUTION: A line has a slope of 3. One of the points on the line is (2,-3). Another point on the line is (5,p). Find p.      Log On


   

Question 72738This question is from textbook
: A line has a slope of 3. One of the points on the line is (2,-3). Another point on the line is (5,p). Find p. This question is from textbook

Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!



A line has a slope of 3. One of the points on the line is (2,-3). Another point on the line is (5,p). Find p.



We can use slope formula



          y%5B2%5D+-+y%5B1%5D

   m  =  ____________  

          x%5B2%5D+-+x%5B1%5D



   m = 3

 (x%5B2%5D, y%5B2%5D) = (2, 3) ,          

  and (x%5B1%5D, y%5B1%5D) = (5, p)





Substitute the given values to the formula

       

          3 - p

   3  =  _______  

          2 - 5



  



     

          3 - p

   3  =  _______  

           -3



Multiply -3 both sides



        

              3 - p

 (-3)  3  =  _______  (-3)

                -3





       9  =  3 - p

      

    9 - 3 = 3 - p - 3   subtract both sides by 3



       6 = -p           divide both sides by -1



      -6 = p





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