document.write( "Question 235182: How do you find the point of intersection between y=-1/2x+4 and y=2x+8 \n" ); document.write( "
Algebra.Com's Answer #173317 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! How do you find the point of intersection between \n" ); document.write( "y=-1/2x+4 and y=2x+8 \n" ); document.write( "-------------------------- \n" ); document.write( "Substitute for y and solve for \"x\": \n" ); document.write( "1/2x+4 = 2x+8 \n" ); document.write( "--- \n" ); document.write( "(2x+4)(2x+8) = 1 \n" ); document.write( "4(x+2)(x+4) = 1 \n" ); document.write( "4(x^2+6x+8) = 1 \n" ); document.write( "x^2+6x+8-1/4 \n" ); document.write( "x^2+6x+7.75 = 0 \n" ); document.write( "--- \n" ); document.write( "x = [-6 +- sqrt(36 -4*7.75)]/2 \n" ); document.write( "--- \n" ); document.write( "x = [-6 +- sqrt(5))/2 \n" ); document.write( "--- \n" ); document.write( "x = -3 +- 1.118 \n" ); document.write( "--- \n" ); document.write( "x = -4.118 or x = -1.882 \n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |