SOLUTION: find the equation for this locus:the distance from the line y = 2 equals the distance from the line x = -1

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: find the equation for this locus:the distance from the line y = 2 equals the distance from the line x = -1      Log On


   

Question 1056673: find the equation for this locus:the distance from the line y = 2 equals the distance from the line x = -1
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Line is point (x,2) and other line is point (-1,y).

General point (x,y) is same distance from both those lines, using Distance Formula:
sqrt%28%28x-x%29%5E2%2B%28y-2%29%5E2%29=sqrt%28%28x-%28-1%29%29%5E2%2B%28y-y%29%5E2%29
Simplify this, and that gives your locus of points asked.

%28y-2%29%5E2=%28x%2B1%29%5E2