document.write( "Question 338780: can you write an equation of the line containing the given point and perpendicular to the given line; (6,-5); 2x+2y=5 \n" ); document.write( "

Algebra.Com's Answer #242851 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
(6,-5);
\n" ); document.write( "2x+2y=5
\n" ); document.write( "add -2x
\n" ); document.write( "2x-2x+2y=-2x +5\r
\n" ); document.write( "\n" ); document.write( "2y= -2x+5
\n" ); document.write( "divide by 2
\n" ); document.write( "y= -x+5/2
\n" ); document.write( "this is of the form
\n" ); document.write( "y = mx +b
\n" ); document.write( "compare the equations
\n" ); document.write( "slope m = -1
\n" ); document.write( ".
\n" ); document.write( "the require line is perpendicular to this line with slope -1
\n" ); document.write( "so the slope will be 1
\n" ); document.write( "..
\n" ); document.write( "y = mx +b
\n" ); document.write( "plug value of (6,-5)
\n" ); document.write( "-5=1*6+b
\n" ); document.write( "-5=6+b
\n" ); document.write( "so b = -11
\n" ); document.write( "the required equation will be slope 1 and b = -11
\n" ); document.write( "y=x-11\r
\n" ); document.write( "\n" ); document.write( " $\"graph%28300%2C300%2C-12%2C12%2C-12%2C12%2C-x%2B%285%2F2%29%2Cx-11%29\"$ \n" ); document.write( "

\n" );