document.write( "Question 730169: Write an equation of the line that passes through (8,-5) and is perpendicular to the graph of the line that passes through points (3,5) and (4,9). \n" ); document.write( "
Algebra.Com's Answer #446531 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Write an equation of the line that passes through (8,-5) and is perpendicular to the graph of the line that passes through points (3,5) and (4,9).
\n" ); document.write( "***
\n" ); document.write( "Equation of a line: y=mx+b, m=slope, b=y-intercept
\n" ); document.write( "slope(m)=∆y/∆x=(y1-y2)/(x1-x2)
\n" ); document.write( "For the line that passes through points (3,5) and (4,9).
\n" ); document.write( "m=(9-5)/(4-3)=4/1
\n" ); document.write( "..
\n" ); document.write( "For the line that passes through (8,-5), perpendicular to the first line
\n" ); document.write( "m=-1/4 (negative reciprocal of slope of first line)
\n" ); document.write( "equation: y=(-1/4)x+b
\n" ); document.write( "solve for b using given coordinates(8,-5) on the line
\n" ); document.write( "-5=(-1/4)*8+b
\n" ); document.write( "-5=-2+b
\n" ); document.write( "b=-3
\n" ); document.write( "equation: y=-x/4-3
\n" ); document.write( "
\n" );