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).

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 = 12

We want to subtract 2x from each side:

2x+4y-2x = 12-2x

4y = 12-2x

4y = -2x+12

Now we divide both sides by 4 (everything on both sides gets divided!):

4y/4 = -2x/4 + 12/4

y = -2/4x + 3

y = -1/2x + 3

The 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.

  answer:

  write 548 as 500 + 40 + 8. multiply each addend by 5. then add the three products to get 2,740.

its c