SOLUTION: Find two points on the line y=4 that are 5 units away from the point (2,3).

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Question 844838: Find two points on the line y=4 that are 5 units away from the point (2,3).
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The line +y+=+4+ is a horizontal line through
( x, 4 ) where x can be any number
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The point ( 2, 3 ) is 1 unit below this line
The perpendicular from ( 2, 3 ) intersects the
line at ( 2, 4 )
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Call +a+ the distance from ( 2, 4 ) to the point
where the distance from ( 2,3 ) is 5 units
+a%5E2+=+5%5E2+-+1%5E2+
+a%5E2+=+25+-+1+
+a+=+sqrt%28+24+%29+
+a+=+2%2Asqrt%286%29+
+a+=+2.4495+
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The points that are 5 units from (2,3) are:
( 2 + a, 4 ) and
( 2 - a, 4 )
+2+%2B+a+=+4.4495+
+2+-+a+=+-.4495+
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( 4.4495, 4 ) and
( -.4495, 4 )
answers
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Hope I got it