document.write( "Question 360818: Find a real number, n , such that the line containing the points (-6,3) and (-2,6) contains the point (n,5) \n" ); document.write( "
Algebra.Com's Answer #257553 by ankor@dixie-net.com(22740)\"\" \"About 
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Find a real number, n , such that the line containing the points (-6,3)
\n" ); document.write( " and (-2,6) contains the point (n,5)
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\n" ); document.write( "Find the slope of the given points, where:
\n" ); document.write( "x1=-6; y1=3
\n" ); document.write( "x2=-2; y2=6
\n" ); document.write( ":
\n" ); document.write( "slope m = \"%28y2-y1%29%2F%28x2-x1%29\"
\n" ); document.write( ":
\n" ); document.write( "m = \"%286-3%29%2F%28-2-%28-6%29%29\" = \"3%2F4\"
\n" ); document.write( ":
\n" ); document.write( "Find the equation using the point/slope form
\n" ); document.write( "y - 3 = \"3%2F4\"(x - (-6))
\n" ); document.write( "y - 3 = \"3%2F4\"(x + 6)
\n" ); document.write( "y - 3 = \"3%2F4\"x + 4.5
\n" ); document.write( "y = \"3%2F4\"x + 4.5 + 3
\n" ); document.write( "y = \"3%2F4\"x + 7.5
\n" ); document.write( "or
\n" ); document.write( "y = .75x + 7.5
\n" ); document.write( ":
\n" ); document.write( "Find n,
\n" ); document.write( ".75n + 7.5 = 5
\n" ); document.write( ".75n = 5 - 7.5
\n" ); document.write( ".75n = -2.5
\n" ); document.write( "n = \"-2.5%2F.75\"
\n" ); document.write( "n = -3\"1%2F3\" when y = 5\r
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