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 #257248 by checkley77(12844)\"\" \"About 
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Y=mX+b where m=slope & b= the Y intercept.
\n" ); document.write( "(3,4) and (11,18).
\n" ); document.write( "m=(Y2-Y1)/(X2-X1)
\n" ); document.write( "m=(18-4)/(11-3)
\n" ); document.write( "m=14/8=1.75 ans. for the slope
\n" ); document.write( "4=1.75*3+b
\n" ); document.write( "4=5.25+b
\n" ); document.write( "b=4-5.25
\n" ); document.write( "b=-1.25 ans. for thew Y intercept.
\n" ); document.write( "Y=1.75X-1.25 (red line)
\n" ); document.write( "------------------------------
\n" ); document.write( "y=-3/2x +12
\n" ); document.write( "Y=-3x/2+12 (green line)
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+15%2C+1.75x+-1.25%2C+-3x%2F2%2B12%29+\" (graph 300x200 pixels, x from -6 to 5, y from -10 to 15, of TWO functions 1.75x -1.25 and -3x/2 +12).
\n" ); document.write( "1.75x-1.25=-3x/2+12
\n" ); document.write( "1.75x+3x/2=12+1.25
\n" ); document.write( "1.75x+1.5x=13.25
\n" ); document.write( "3.25x=13.25
\n" ); document.write( "x=13.25/3.25
\n" ); document.write( "x=4.077 ans for the x intercept
\n" ); document.write( "y=1.75*4.077-1.25
\n" ); document.write( "y=7.135-1.25
\n" ); document.write( "y=5.885 ans. for the Y intercept.
\n" ); document.write( "(4.077,5.885) is the intercept point. \n" ); document.write( "
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