document.write( "Question 1024052: Find the slope of a line tangent to the circle with a center (8,-7) and intersects at point (5,-5). \n" ); document.write( "

Algebra.Com's Answer #639605 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( " $\"m=%28-5-%28-7%29%29%2F%285-8%29=2%2F%28-3%29=-2%2F3\"$
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals,
\n" ); document.write( " $\"%28-2%2F3%29%2Am%5B2%5D=-1\"$
\n" ); document.write( " $\"m%5B2%5D=3%2F2\"$
\n" ); document.write( "Using the point slope form,
\n" ); document.write( " $\"y-%28-5%29=%283%2F2%29%28x-5%29\"$
\n" ); document.write( " $\"y%2B5=%283%2F2%29x-15%2F2\"$
\n" ); document.write( " $\"y=%283%2F2%29x-15%2F2-10%2F2\"$
\n" ); document.write( " $\"y=%283%2F2%29x-25%2F2\"$
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