document.write( "Question 209062: 2y=x+4 need the slope and intersection \n" ); document.write( "
Algebra.Com's Answer #158023 by nerdybill(7384) You can put this solution on YOUR website! 2y=x+4 need the slope and intersection \n" ); document.write( ". \n" ); document.write( "To determine the \"slope\" and the \"y-intercept\", you can manipulate the given equation into the \"slope-intercept\" form of a straight line: \n" ); document.write( "y = mx + b \n" ); document.write( "where \n" ); document.write( "m is the slope \n" ); document.write( "b is the y-intercept at (0,b) \n" ); document.write( ". \n" ); document.write( "To get it in the above form, simply divide both sides of the given equation by 2: \n" ); document.write( "2y=x+4 \n" ); document.write( "y = (1/2)x + 2 \n" ); document.write( "This means: \n" ); document.write( "m (slope) is 1/2 \n" ); document.write( "and \n" ); document.write( "(0,2) is the y-intercept \n" ); document.write( ". \n" ); document.write( "To find the x-intercept, set y=0 and solve for 'x': \n" ); document.write( "2y=x+4 \n" ); document.write( "2(0)=x+4 \n" ); document.write( "0=x+4 \n" ); document.write( "-4 = x \n" ); document.write( "therefore, \n" ); document.write( "(-4,0) is the x-intercept \n" ); document.write( " |