SOLUTION: Find all coordinates having an x-coordinate of 1 whose distance from the point (-3,-1) is 5

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Question 832601: Find all coordinates having an x-coordinate of 1 whose distance from the point (-3,-1) is 5
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The second part of your description is a circle, %28x%2B3%29%5E2%2B%28y%2B1%29%5E2=25.

Solve for y as a function of x.
%28y%2B1%29%5E2=25-%28x%2B3%29%5E2
y%2B1=0%2B-+sqrt%2825-%28x%2B3%29%5E2%29
highlight%28y=-1%2B-+sqrt%2825-%28x%2B3%29%5E2%29%29, which obviously is two different formulas for y.

Next, use x=1 for both branches of y, so you WILL find two values for y.
Obtain y=-1%2B3 and y=-1-3;
highlight%28y=2%29 or highlight%28y=-4%29