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

Algebra 
Ben
Use the distance formula.

Algebra 
Bri
which is?

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

Algebra 
Steve
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) 
Algebra 
Bri
Thanks Steve!
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