# Algebra

posted by Bri

find all points having an x-coordinate of 4 whose distance from the point (1,5) is 5

1. Ben

Use the distance formula.

2. Bri

which is?

3. Ben

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

4. Steve

you know that all points at a distance 5 will form a circle with center at (1,5) and radius 5. So,

(x-1)^2 + (y-5)^2 = 25

So, plug in x=4 and you have

3^2 + (y-5)^2 = 25
(y-5)^2 = 16
y-5 = ±4
y = 9 or 1

So, the points are (4,9) and (4,1)

5. Bri

Thanks Steve!

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