document.write( "Question 536615: Write the slope-intercept equation for the line that passes through (-3, -15) and is perpendicular to -6x + 8y = 3 Please show all of your work. \n" ); document.write( "
Algebra.Com's Answer #352475 by mananth(16946)![]() ![]() You can put this solution on YOUR website! -6 x + 8 y = 3 \n" ); document.write( "Find the slope of this line \n" ); document.write( " \n" ); document.write( "8 y = 6 x + 3 \n" ); document.write( "Divide by 8 \n" ); document.write( " y = 3/4 x + 0.38 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = 3/4 \n" ); document.write( " \n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal -4/3 \n" ); document.write( "m1*m2=-1 \n" ); document.write( "The slope of the required line will be -1 1/3 \n" ); document.write( " \n" ); document.write( "m= -4/3 ,point ( -3 , -15 ) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "-15 = 4.00 + b \n" ); document.write( "b= -19 \n" ); document.write( "m= -4/3 \n" ); document.write( "The required equation is,y =-4/ 3 x -19 \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |