SOLUTION: Given A(-4,6), B(-1,2),C(x,14) and D(5,10). If AB is parallel to CD, find the value of x.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Given A(-4,6), B(-1,2),C(x,14) and D(5,10). If AB is parallel to CD, find the value of x.      Log On


   

Question 134974: Given A(-4,6), B(-1,2),C(x,14) and D(5,10). If AB is parallel to CD, find the value of x.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have the same slope.
The slope of AB = %286-2%29%2F%28-4+-+%28-1%29%29 = 4%2F-3
The slope of CD = %2814-10%29%2F%28x-5%29 = 4%2F%28x-5%29
x-5+=+-3
x+=+2