document.write( "Question 205674: how do I graph 2x-4y=8 using x and y intercepts? \n" ); document.write( "
Algebra.Com's Answer #155301 by Theo(13342)![]() ![]() You can put this solution on YOUR website! 2x - 4y = 8 \n" ); document.write( "----- \n" ); document.write( "your y intercept is when x = 0, so make x = 0 and solve for y. \n" ); document.write( "- 4y = 8 \n" ); document.write( "y = 8/-4 \n" ); document.write( "y = -2 \n" ); document.write( "----- \n" ); document.write( "your x intercept is when y = 0, so make y = 0 and solve for x. \n" ); document.write( "2x = 8 \n" ); document.write( "x = 4 \n" ); document.write( "----- \n" ); document.write( "you have 2 points on your line. \n" ); document.write( "1 point is (0,-2) \n" ); document.write( "the other point is (4,0) \n" ); document.write( "----- \n" ); document.write( "you still need to have an equation though. \n" ); document.write( "for graphing purposes you need to solve for y. \n" ); document.write( "----- \n" ); document.write( "your equation is: \n" ); document.write( "2x - 4y = 8 \n" ); document.write( "add 4y to both sides and subtract 8 from both sides to get: \n" ); document.write( "2x - 8 = 4y \n" ); document.write( "divide both sides by 4 to getr: \n" ); document.write( "y = .5x - 2 \n" ); document.write( "----- \n" ); document.write( "once again, your y intercept is when x = 0, so y intercept = -2 \n" ); document.write( "this confirms what we got earlier. \n" ); document.write( "----- \n" ); document.write( "once again, your x intercept is when y = 0, so equation becomes: \n" ); document.write( "0 = .5x - 2 \n" ); document.write( "add 2 to both sides to get: \n" ); document.write( "2 = .5x \n" ); document.write( "divide both sides by .5 to get: \n" ); document.write( "4 = x \n" ); document.write( "or \n" ); document.write( "x = 4 \n" ); document.write( "this also confirms what we got earlier. \n" ); document.write( "----- \n" ); document.write( "graph of your equation will look like this: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |