document.write( "Question 892519: I am doing maths revision and i'm really stuck, i have tried the question over and over but keep getting the wrong answer.
\n" ); document.write( "The question is: Determine the equation for a linear graph that passes through (2,1) and is perpendicular to 2x+6y=24
\n" ); document.write( "My answer was y= - 1 over 3x + 5 over three
\n" ); document.write( "We are learning the method of y=mx+c
\n" ); document.write( "Please help :)
\n" ); document.write( "

Algebra.Com's Answer #540552 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
\"2x%2B6y=24\", the given equation.
\n" ); document.write( "Solve for y.
\n" ); document.write( "\"6y=-2x%2B24\"
\n" ); document.write( "\"y=-%281%2F3%29x%2B4\"
\n" ); document.write( "Slope is \"-1%2F3\". Any line in the plane perpendicular to it must have slope negative reciprocal of this value; meaning that the line you are looking for must have slope 3.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Wanting the line you are looking for to contain point (2,1), then use slope intercept form for the line you want, solved for b.\r
\n" ); document.write( "\n" ); document.write( "\"y=3x%2Bb\" -------- you want to know what b is, so solve for it, and then substitute the point which is supposed to be on the line you want.
\n" ); document.write( "\"y-3x=b\"
\n" ); document.write( "\"b=y-3x\"
\n" ); document.write( "\"b=1-3%2A2\"
\n" ); document.write( "\"b=-5\"-------the y-intercept.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Line you want is \"highlight%28y=3x-5%29\".
\n" ); document.write( "
\n" );