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



          

   m  =  ____________  

          



   m = 3

 (, ) = (2, 3) ,          

  and (, ) = (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





Check to be sure your answer is correct. 

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