SOLUTION: PLease help me solve this equation: line WZ has endpoints {{{W(-3,-8)}}} and {{{Z(5,12)}}}. Point X lies between W and Z, such that WX = 1/4WZ. Find the coordinates of X

Algebra ->  Points-lines-and-rays -> SOLUTION: PLease help me solve this equation: line WZ has endpoints {{{W(-3,-8)}}} and {{{Z(5,12)}}}. Point X lies between W and Z, such that WX = 1/4WZ. Find the coordinates of X      Log On


   

Question 343817: PLease help me solve this equation: line WZ has endpoints W%28-3%2C-8%29 and Z%285%2C12%29. Point X lies between W and Z, such that WX = 1/4WZ. Find the coordinates of X
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Define a new point that is the midpoint of the segment WZ, call it A. Use the midpoint formulas to find the coordinates of A:

and



where and are the coordinates of W and Z.

Once you have found the coordinates of A, use the midpoint formulas to find the midpoint of WA. Those will be the coordinates of X.


John

My calculator said it, I believe it, that settles it