Heather was asked to graph 2x + 4y = 12 by using slope and y-intercept. Her graph is shown. Which choice supports the graph that she has drawn. A) The slope is positive 1 2 and the y-intercept is (0,3). B) The slope is negative 1 2 and the y-intercept is (0, 3). C) The slope is positive 1 2 and the y-intercept is (0, -3). D) The slope is negative 1 2 and the y-intercept is (0, -3).

Answer:B) The slope is negative 1/2 and the y-intercept is (0, 3).Step-by-step explanation:First we rewrite the equation so we can easily find the slope and y-intercept.  We do this by isolating the y-term:2x+4y = 12We want to subtract 2x from each side:2x+4y-2x = 12-2x4y = 12-2x4y = -2x+12Now we divide both sides by 4 (everything on both sides gets divided!):4y/4 = -2x/4 + 12/4y = -2/4x + 3y = -1/2x + 3The slope is -1/2 and the y-intercept is 3 (the point (0, 3)).Her graph shows the y-intercept at (0, 3); this part is correct.The graph also shows we go down one and over two between points; this is a slope of -1/2, which is correct.