document.write( "Question 424068: Write the slope-intercept equation for the line that passes through (-5, -8) and is perpendicular to 10x – 6y = -11 Please show all of your work \n" ); document.write( "
Algebra.Com's Answer #295719 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 10x-6y =-11 \n" ); document.write( "Find the slope of this line \n" ); document.write( " \n" ); document.write( "6y=10x+11 \n" ); document.write( "Divide by 6 \n" ); document.write( "y=1 2/3 x +1.83 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = 5/3 \n" ); document.write( " \n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal \n" ); document.write( "m1*m2=-1 \n" ); document.write( "The slope of the required line will be - 3/5 - 3/5 = -0.60 \n" ); document.write( " \n" ); document.write( "m= -0.60 ,point (-5,-8) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "-8=3+b \n" ); document.write( "b=-11 \n" ); document.write( "m=- 3/5 \n" ); document.write( "The required equation is y=-0.6x -11 \n" ); document.write( " \n" ); document.write( " |