document.write( "Question 87804: Could you please help me understand and solve this equation?
\n" ); document.write( "Write an equation of the line containing the given points and perpendicular to the given line express answer y=mx+b
\n" ); document.write( "(8,9) 4x+y=9
\n" ); document.write( "The equation of the line is y= \n" ); document.write( "

Algebra.Com's Answer #63703 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
Write an equation of the line containing the given points and perpendicular to the given line express answer y=mx+b
\n" ); document.write( "(8,9) 4x+y=9
\n" ); document.write( "---------
\n" ); document.write( "The given line can be written as y = -4x+9
\n" ); document.write( "So it has slope = -4.
\n" ); document.write( "--------------
\n" ); document.write( "Any line perpendicular to it must have slope m=1/4
\n" ); document.write( "---------------
\n" ); document.write( "Your equation will have the form y=mx+b where m=1/4,
\n" ); document.write( "and y=9 when x=8.
\n" ); document.write( "So 9 = (1/4)8+b
\n" ); document.write( "9 = 2 + b
\n" ); document.write( "b=7
\n" ); document.write( "-----------
\n" ); document.write( "Your equation is y=(1/4)x+7
\n" ); document.write( "-----------------
\n" ); document.write( " $\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%281%2F4%29x%2B7%29\"$
\n" ); document.write( "====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );