Algebra
posted by Bri .
find all points having an xcoordinate of 4 whose distance from the point (1,5) is 5

Use the distance formula.

which is?

It should be on your formula sheet if not then look it up.

you know that all points at a distance 5 will form a circle with center at (1,5) and radius 5. So,
(x1)^2 + (y5)^2 = 25
So, plug in x=4 and you have
3^2 + (y5)^2 = 25
(y5)^2 = 16
y5 = ±4
y = 9 or 1
So, the points are (4,9) and (4,1) 
Thanks Steve!
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