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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).

Respuesta :

altavistard
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).

Answer: B) The slope is negative  1 /2   and the y-intercept is (0, 3).

Step-by-step explanation: usatestprep approved