document.write( "Question 161751: can anyone help\r
\n" ); document.write( "\n" ); document.write( "Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x – 2y = 24 and passing through (1, 3). \n" ); document.write( "
Algebra.Com's Answer #119212 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
can anyone help
\n" ); document.write( "Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x – 2y = 24 and passing through (1, 3).
\n" ); document.write( "--------------------
\n" ); document.write( "Perpendicular means the slope is the negative inverse of the slope of the given line.
\n" ); document.write( "1st, find the slope of the given line by putting it into slope-intercept form, y = mx+b
\n" ); document.write( "------------
\n" ); document.write( "x – 2y = 24
\n" ); document.write( "-2y = -x + 24
\n" ); document.write( "y = (1/2)x - 12
\n" ); document.write( "The slope, m, is 1/2. So the slope of the line perpendicular will have a slope of -2.
\n" ); document.write( "--------
\n" ); document.write( "Use the slope-intercept again:
\n" ); document.write( "y-y1 = m*(x-x1) *** (x1,y1) is the point (1,3)
\n" ); document.write( "y-3 = 2*(x-1)
\n" ); document.write( "y-3 = 2x-2
\n" ); document.write( "2x - y = -1 (standard form)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );