document.write( "Question 1067725: Determine equations for two lines that pass through (1, -5) and are tangent to the graph y= x^2 -2. \n" ); document.write( "
Algebra.Com's Answer #682834 by josgarithmetic(39617)\"\" \"About 
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\"%28dy%2Fdx%29%28x%5E2-2%29\"
\n" ); document.write( "\"m=2x\", slope for any line tangent to y=x^2-2.\r
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\n" ); document.write( "\n" ); document.write( "\"y%2B5=m%28x-1%29\", a line equation
\n" ); document.write( "\"y=m%28x-1%29-5\"
\n" ); document.write( "\"y=%282x%29%28x-1%29-5\"
\n" ); document.write( "\"y=2x%5E2-2x-5\", a line expected to be tangent to y=x^2-2.\r
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\n" ); document.write( "\n" ); document.write( "Expression for the parabola, MINUS the expression for the tangent line, should be 0, where the line and parabola intersect. This line is not above the parabola.\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-2-%282x%5E2-2x-5%29=0\", to solve for finding either of the intersection points.\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-2-2x%5E2%2B2x%2B5=0\"\r
\n" ); document.write( "\n" ); document.write( "\"-x%5E2%2B2x%2B3=0\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-2x-3=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B1%29%28x-3%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "If x=-1, then y=(-1)^2-2=-1.
\n" ); document.write( "Point on parabola, (-1,-1).\r
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\n" ); document.write( "\n" ); document.write( "If x=3, then y=(3)^2-2=9-2=7.
\n" ); document.write( "Point on parabola, (3,7).\r
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\n" ); document.write( "\n" ); document.write( "The Two Possible Lines Tangent to y=x^2-2, and containing (1,-5):
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\n" ); document.write( "Line containing (1,-5) and (-1,-1).
\n" ); document.write( "slope \"%28-1%2B5%29%2F%28-1-1%29=4%2F%28-2%29=-2\";
\n" ); document.write( "Equation starting point-slope form,
\n" ); document.write( "\"highlight%28y%2B5=-2%28x-1%29%29\"\r
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\n" ); document.write( "Line containing (1,-5) and (3,7).
\n" ); document.write( "slope \"%2812%2F2%29=6\";
\n" ); document.write( "Equation,
\n" ); document.write( "\"highlight%28y%2B5=6%28x-1%29%29\"
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