document.write( "Question 624655: write the slope intercept equation for the line that passes through (-8,11) and is perpendicular t 2x -7y=14 \n" ); document.write( "
Algebra.Com's Answer #392929 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
write the slope intercept equation for the line that passes through (-8,11) and is perpendicular to
\n" ); document.write( "2x -7y=14
\n" ); document.write( "form of equation for a straight line: y=mx+b, m=slope, b=y-intercept
\n" ); document.write( "7y=2x-14
\n" ); document.write( "y=2x/7-2
\n" ); document.write( "slope of given line=2/7
\n" ); document.write( "slope of perpendicular line=-7/2 (negative reciprocal)
\n" ); document.write( "equation: y=-7x/2+b
\n" ); document.write( "solving for b using coordinates of given point(-8,11)
\n" ); document.write( "11=(-7*-8)/2+b
\n" ); document.write( "11=56/2+b
\n" ); document.write( "11=28+b
\n" ); document.write( "b=-17
\n" ); document.write( "Equation of line perpendicular to given line: y=-7x/2-17
\n" ); document.write( " \n" ); document.write( "
\n" );