SOLUTION: Please Help Find all the points having an x-coordinate of 3 whose distance from the point (-2, -1) is 13.

Question 812925: Please Help
Find all the points having an x-coordinate of 3 whose distance from the point (-2, -1) is 13.
Found 2 solutions by jsmallt9, richwmiller:
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
Since the problem talks about distance between points in the coordinate plane we will be using the distance formula:

We are given everything but the y coordinate(s) of the desired points. With only one unknown in the formula we can use it find that unknown:

We start by simplifying:

Now we square both sides:

This is a quadratic so we want a zero on one side:

Now we factor:

From the Zero Product Property:
or
Solving:
or
So there are two points with an x-coordinate of 3 which are 13 units away from (-2, -1): (3, -13) and (3, 11)
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
(-2,-1)
(3,11)
and
(3,-13)

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