document.write( "Question 486515: Write the slope-intercept equation for the line that passes through (-7, 6) and is perpendicular to -7x + 9y = -2 \n" ); document.write( "
Algebra.Com's Answer #332561 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Write the slope-intercept equation for the line that passes through (-7, 6) and is perpendicular to -7x + 9y = -2 \n" ); document.write( "*** \n" ); document.write( "Standard form of equation for a straight line: y=mx+b, m=slope, b=y-intercept \n" ); document.write( "For given equation of line: \n" ); document.write( "-7x+9y=-2 \n" ); document.write( "9y=7x-2 \n" ); document.write( "y=7x/9-2/9 \n" ); document.write( "slope m=7/9 \n" ); document.write( ".. \n" ); document.write( "slope of line perpendicular to given line=-9/7 (negative reciprocal) \n" ); document.write( "Equation: y=(-9/7)x+b \n" ); document.write( "solving for b using given point (-7,6) \n" ); document.write( "6=(-9/7)*7+b \n" ); document.write( "6=-9+b \n" ); document.write( "b=16 \n" ); document.write( "Equation of perpendicular line: \n" ); document.write( "y=-9x/7+16 \n" ); document.write( " |