document.write( "Question 519204: Write an equation in slope intercept form for the line that passes through (2,4) and is perpendicular to the line y=2x-3 \n" ); document.write( "
Algebra.Com's Answer #345445 by oberobic(2304)\"\" \"About 
You can put this solution on YOUR website!
The line y = 2x-3 is in slope-intercept form.
\n" ); document.write( "2 = slope
\n" ); document.write( "-3 = y-intercept
\n" ); document.write( ".
\n" ); document.write( "A line perpendicular to the line y = 2x-3 will have a slope of -1/2, which is the inverse reciprocal of 2.
\n" ); document.write( ".
\n" ); document.write( "y = -1/2x + b
\n" ); document.write( ".
\n" ); document.write( "Then use the point you want to go through to find 'b'.
\n" ); document.write( ".
\n" ); document.write( "4 = -1/2(2) + b
\n" ); document.write( "4 = -1 + b
\n" ); document.write( "b = 5
\n" ); document.write( ".
\n" ); document.write( "y = -1/2x +5
\n" ); document.write( ".
\n" ); document.write( "In the following graph, y= 2x-3 is red; y = -1/2x + 5 is green.
\n" ); document.write( ".
\n" ); document.write( "\"+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C2%2Ax-3%2C-1%2F2%2Ax%2B5%29+\"
\n" ); document.write( "
\n" );