document.write( "Question 426872: write the slpoe-intercept equation for the line that passes through (-8,-11) and is perpendicular to -2x-7y=14 \n" ); document.write( "
Algebra.Com's Answer #296935 by mananth(16946)![]() ![]() You can put this solution on YOUR website! -2x-7y =14 \n" ); document.write( "Find the slope of this line \n" ); document.write( "-7y=2x-14 \n" ); document.write( "Divide by -7 \n" ); document.write( " y =- 2/7x+2 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m =-0.29 \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 3.50 \n" ); document.write( "3.5= \n" ); document.write( "m=3.50 ,point (-8,11) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "11=-28+b \n" ); document.write( "b=39 \n" ); document.write( "m=3.5 \n" ); document.write( "The required equation is y=3.5x +39 \n" ); document.write( " \n" ); document.write( " |