SOLUTION: Find the value of x so that the line joining the points(x,3)and (2,1)is parallel to the line joining (x,5)and (-1,2)

Algebra ->  Expressions-with-variables -> SOLUTION: Find the value of x so that the line joining the points(x,3)and (2,1)is parallel to the line joining (x,5)and (-1,2)      Log On


   

Question 610028: Find the value of x so that the line joining the points(x,3)and (2,1)is parallel to the line joining (x,5)and (-1,2)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, 

Find the value of x so that the line joining the points(x,3)and (2,1)is parallel to the line joining (x,5)and (-1,2)

Note:  slopes Equal  m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29

(x,3)and 

(2,1) m+=+2%2F%28x-2%29



(x,5)and 

(-1,2) m+=+3%2F%28x%2B1%29

 2%2F%28x-2%29=+3%2F%28x%2B1%29   ||Cross Multiplying to solve

    3(x-2) = 2(x+1)

       x = 8