document.write( "Question 282515: How do you solve 2y=6x+4? \n" ); document.write( "
Algebra.Com's Answer #205112 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! First, get it into slope-intercept form: y = mx + b \n" ); document.write( "where \n" ); document.write( "y = value of y that depends on the value of x \n" ); document.write( "m = slope of the line \n" ); document.write( "b = y-intercept (the point where x=0) \n" ); document.write( ". \n" ); document.write( "2y = 6x+4 \n" ); document.write( ". \n" ); document.write( "Divide both sides of the equation by 2. \n" ); document.write( ". \n" ); document.write( "y = 3x + 2 \n" ); document.write( ". \n" ); document.write( "When x=0 \n" ); document.write( ". \n" ); document.write( "y = 3*0 + 2 = 2\r \n" ); document.write( "\n" ); document.write( "which defines the point (0,2). \n" ); document.write( ". \n" ); document.write( "The x-intercept occurs where y=0. \n" ); document.write( ". \n" ); document.write( "0 = 3x + 2 \n" ); document.write( "or \n" ); document.write( "3x +2 = 0 \n" ); document.write( ". \n" ); document.write( "Subtract 2 from both sides. \n" ); document.write( ". \n" ); document.write( "3x = -2 \n" ); document.write( ". \n" ); document.write( "Divide both sides by 3. \n" ); document.write( ". \n" ); document.write( "x = -2/3, which defines the point (-2/3,0). \n" ); document.write( ". \n" ); document.write( "Given you have two points, you can graph a straight line. \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "That's about all you need to know about this equation. \n" ); document.write( ". \n" ); document.write( "y = 3x + 2 \n" ); document.write( "The slope = 3, which means it goes up to the right. \n" ); document.write( "The y-intercept = (0,2). \n" ); document.write( "The x-intercept = (-2/3,0). \n" ); document.write( "The graph is shown above. \n" ); document.write( "You could test another value of x to make sure it is on the line, but I leave that to you. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |