document.write( "Question 420079: Could you please help me answer this question? Find the equation for the line that passes through the point (4,-2), and that is perpendicular to the line with the equation 3/4x-3y=-3. I have tried but seem to get stuck when it comes to fractions and solving for y. Any help is much appreciated! Thank you. \n" ); document.write( "
Algebra.Com's Answer #293643 by mananth(16946)![]() ![]() You can put this solution on YOUR website! ¾ x - 3 y = 3 \n" ); document.write( "Find the slope of this line \n" ); document.write( "3 y = ¾ x -3 \n" ); document.write( "Divide by 3 \n" ); document.write( " y = 0.25 x -1 \n" ); document.write( "Slope = 0.25 \n" ); document.write( " \n" ); document.write( "The slope of a line perpendicular to the given line will be the negative reciprocal \n" ); document.write( "m1*m2=-1 \n" ); document.write( "The slope of the required line will be -4 \n" ); document.write( " \n" ); document.write( "m=-4 ,point ( 4 , -2 ) \n" ); document.write( "Find b by plugging the values of m & the point \n" ); document.write( "-2 = -16 + b \n" ); document.write( "b= 14 \n" ); document.write( " \n" ); document.write( "The required equation is y = -4 x + 14 \n" ); document.write( " \n" ); document.write( " |