document.write( "Question 618104: A line through(2 , 1)meets the curve x squared - 2x - y=3 at A(-2 , 5) and at B.Find the coordinates of B. \n" ); document.write( "
Algebra.Com's Answer #388711 by lwsshak3(11628)\"\" \"About 
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A line through(2 , 1)meets the curve x squared - 2x - y=3 at A(-2 , 5) and at B.Find the coordinates of B.
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\n" ); document.write( "Equation of line: y=mx+b, m=slope, b=y-intercept
\n" ); document.write( "m=∆y/∆x=(5-1)/(-2-2)=-4/4=-1
\n" ); document.write( "equation: y=-x+b
\n" ); document.write( "solving for b using coordinates of one of given points ((2,1)
\n" ); document.write( "1=-2+b
\n" ); document.write( "b=3
\n" ); document.write( "equation of line: y=-x+3
\n" ); document.write( "..
\n" ); document.write( "Equation of curve: x^2-2x-y=3
\n" ); document.write( "Substitute equation of line for y
\n" ); document.write( "x^2-2x-(-x+3)=3
\n" ); document.write( "x^2-2x+x-3=3
\n" ); document.write( "x^2-x-6=0
\n" ); document.write( "(x-3)(x+2)=0
\n" ); document.write( "..
\n" ); document.write( "x+2=0
\n" ); document.write( "x=-2
\n" ); document.write( "y=-x+3=2+3=5
\n" ); document.write( "This confirms given point of intersection at A: (-2,5)
\n" ); document.write( "..
\n" ); document.write( "x-3=0
\n" ); document.write( "x=3
\n" ); document.write( "y=-x+3=3-3=0
\n" ); document.write( "coordinates of B, point of intersection: (3,0)
\n" ); document.write( "see graph below as a visual check:
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2-2x-3%2C-x%2B3%29+\" \r
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