document.write( "Question 563586: write the slope-intercept equation for the line that passes through (-5,-8) and is perendicular to 10x-6y=-11 please show all of your work \n" ); document.write( "
Algebra.Com's Answer #364948 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=-10 x-11 \n" ); document.write( "Divide by -6 \n" ); document.write( " y = 5/ 3 x + 11/6 \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 -3/5 m1*m2=-1 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "m= - 3/5 ,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 = 3.00 + b \n" ); document.write( "b= -11 \n" ); document.write( "m= - 3/5 \n" ); document.write( "The required equation is y =- ( 3/ 5)x-11 \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |