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).

The problem statement says "the graph is shown," but you haven't shared it.  Please do that if possible.  Thank you.

Heather was asked to graph 2x + 4y = 12 by using slope and y-intercept.

We can quickly put this into slope-intercept form:  
                                                                                                 12 - 2x
Subtract 2x from both sides:  2x - 2x + 4y = 12 - 2x  =>   y =  
                                                                                                      4

In simplest form, this is y = 3 - (1/2)x, or (-1/2)x + 3.  The slope is -1/2 and the y-intercept is (0,3).