document.write( "Question 1024054: A line tangent to a circle with a center (-9,6) intersects at point (-2,5). Find the equation of the tangent. \n" ); document.write( "

Algebra.Com's Answer #639607 by Fombitz(32388) $\"\"$ $\"About$

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Find the line connecting the center of the circle and the point of intersection.
\n" ); document.write( "The tangent line is perpendicular to this line.
\n" ); document.write( "First find the slope,
\n" ); document.write( " $\"m=%285-6%29%2F%28-2-%28-9%29%29=-1%2F7\"$
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals,
\n" ); document.write( " $\"%281%2F7%29%2Am%5B2%5D=-1\"$
\n" ); document.write( " $\"m%5B2%5D=7\"$
\n" ); document.write( "Using the point slope form,
\n" ); document.write( " $\"y-5=%287%29%28x-%28-2%29%29\"$
\n" ); document.write( " $\"y-5=7x%2B14\"$
\n" ); document.write( " $\"y=7x%2B19\"$
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