document.write( "Question 1187084: What is the equation of the circle with center at(0.2) and tangent to the line
\n" ); document.write( "3x-4y=12
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Algebra.Com's Answer #818030 by Alan3354(69443)\"\" \"About 
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What is the equation of the circle with center at(0.2) and tangent to the line
\n" ); document.write( "3x-4y=12
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\n" ); document.write( "There's a formula for the distance from a point to a line, but I'll work it the \"long way.\"
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\n" ); document.write( "3x-4y=12 ---> y = (3/4)x - 3
\n" ); document.write( "Slope of the line is 3/4
\n" ); document.write( "Slope of lines perpendicular is -4/3
\n" ); document.write( "(0,2) is the y intercept ---> y = (-4/3)x + 2
\n" ); document.write( "Find the intersection of the 2 lines.
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\n" ); document.write( "y = (3/4)x - 3
\n" ); document.write( "y = (-4/3)x + 2
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\n" ); document.write( "(3/4)x - 3 = (-4/3)x + 2
\n" ); document.write( "9x - 36 = -16x + 24
\n" ); document.write( "25x = 60
\n" ); document.write( "x = 2.4
\n" ); document.write( "y = -1.2
\n" ); document.write( "Intersection at (2.4,-1.2)
\n" ); document.write( "Distance from (0,2) = sqrt(diffy^2 + diffx^2) = sqrt(2.4^2 + 3.2^2) = sqrt(16) = 4
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\n" ); document.write( "\"x%5E2+%2B+%28y-2%29%5E2+=+16\" is the circle\r
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