document.write( "Question 1191933: Find the equation of the circle tangent to the line 5x + y = 3 at the point (2, -7) and the center is
\n" ); document.write( "on the line x - 2y = 19. \n" ); document.write( "

Algebra.Com's Answer #823800 by Alan3354(69443) $\"\"$ $\"About$

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Find the equation of the circle tangent to the line 5x + y = 3 at the point (2, -7) and the center is
\n" ); document.write( "on the line x - 2y = 19.
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\n" ); document.write( "Step 1, find the slope of the given line.
\n" ); document.write( "Step 2, find the equation of the perpendicular bisector of 5x + y = 3 thru the point (2,-7).
\n" ); document.write( "Step 3, find the intersection of the given line and the perpendicular bisector.
\n" ); document.write( "The intersection is the center of the circle at (h,k).
\n" ); document.write( "Step 4, find the distance from the center to the point (2,-7), that's the radius.
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\n" ); document.write( " $\"%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2\"$ is the circle.
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