document.write( "Question 360551: What is the equation of a line with points (3,4) and (11,18). After that I need the intersection of that line and line y=-3/2x +12. Thank you. \n" ); document.write( "
Algebra.Com's Answer #257244 by nerdybill(7384)\"\" \"About 
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What is the equation of a line with points (3,4) and (11,18). After that I need the intersection of that line and line y=-3/2x +12.
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\n" ); document.write( "Slope of (3,4) and (11,18)
\n" ); document.write( "m = (18-4)/(11-3) =14/8 = 7/4
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\n" ); document.write( "Using one point (3,4) and the slope 7/4, plug into \"point-slope\" form:
\n" ); document.write( "y - y1 = m(x - x1)
\n" ); document.write( "y - 4 = 7/4(x - 3)
\n" ); document.write( "y - 4 = (7/4)x - 21/4
\n" ); document.write( "y = (7/4)x - 21/4 + 4
\n" ); document.write( "y = (7/4)x - 21/4 + 16/4
\n" ); document.write( "y = (7/4)x - 5/4
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\n" ); document.write( "Intersection:
\n" ); document.write( "(7/4)x - 5/4 = -3/2x +12
\n" ); document.write( "multiply both sides by 4:
\n" ); document.write( "7x - 5 = -6x + 48
\n" ); document.write( "13x - 5 = 48
\n" ); document.write( "13x = 53
\n" ); document.write( "x = 53/13
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\n" ); document.write( "find y by plugging x into:
\n" ); document.write( "y=-3/2x +12
\n" ); document.write( "y=-3/2(53/13) +12
\n" ); document.write( "2y = -3(53/13) +24
\n" ); document.write( "26y = -3(53) +312
\n" ); document.write( "26y = -159 +312
\n" ); document.write( "26y = 153
\n" ); document.write( "y = 153/26
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\n" ); document.write( "intersects at (53/13, 153/26) \n" ); document.write( "
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