document.write( "Question 670856: In triangle DEF, the equation of the altitude from D through EF is 4x + 3y - 13 = 0 and the equation of the altitude from E through DF is 2x - y - 4 = 0. What do you call the point where these lines intersect? Find the point where these lines intersect. Explain each step of your solution. \n" ); document.write( "
Algebra.Com's Answer #417157 by stanbon(75887)\"\" \"About 
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the equation of the altitude from D through EF is 4x + 3y - 13 = 0 and the equation of the altitude from E through DF is 2x - y - 4 = 0. What do you call the point where these lines intersect? Find the point where these lines intersect.
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\n" ); document.write( "Solve each equation by \"y\":
\n" ); document.write( "y = (13-4x)/3
\n" ); document.write( "y = 2x-4
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\n" ); document.write( "(13-4x)/3 = 2x-4
\n" ); document.write( "--------
\n" ); document.write( "13-4x = 6x-12
\n" ); document.write( "10x = 25
\n" ); document.write( "x = 2.5
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\n" ); document.write( "Solve for \"y\":
\n" ); document.write( "y = 2x-4
\n" ); document.write( "y = 2*2.5 - 4 = 1
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\n" ); document.write( "The point of intersection is (2.5 , 1)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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