document.write( "Question 823152: What is the equation of a line that is perpendicular to 6x+3y=2 and passes through the point (-2,4) \n" ); document.write( "
Algebra.Com's Answer #495295 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! What is the equation of a line that is perpendicular to 6x+3y=2 and passes through the point (-2,4) \n" ); document.write( "------ \n" ); document.write( "Determine the slope of the given line: \n" ); document.write( "3y = -6x+2 \n" ); document.write( "y = -2x + (2/3) \n" ); document.write( "---- \n" ); document.write( "slope = -2 \n" ); document.write( "---- \n" ); document.write( "Any line perpendicular to the given line must have slope = 1/2 \n" ); document.write( "------- \n" ); document.write( "Form: y = mx + b \n" ); document.write( "Solve for \"b\": \n" ); document.write( "4 = (1/2)(-2) + b \n" ); document.write( "4 = -1 + b \n" ); document.write( "b = 5 \n" ); document.write( "------ \n" ); document.write( "Equation: \n" ); document.write( "y = (1/2)x + 5 \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "===================== \n" ); document.write( " |