Question

@mathmale

Answer 1

Which of the following statements best describes the graph of x + y = 4?

It is a line which intersects the x axis at (4, 4).

It is a line which intersects the y axis at (4, 4).

It is a line joining the points whose x and y coordinates add up to 8.

It is a line joining the points whose x and y coordinates add up to 4.

Answer 2

DG: Rather than look at the possible answers, I'd jump in and graph the function first. Then it'd be relatively easy to choose the right answer.

If you're willing to do that, graph x+y=4 using whichever method you're comfy with.

Answer 3

Hint: You could practically do this by inspection: If x=0, y=4, and if y=0, x=4.

Graph those 2 points, please, and connect them with a line.

Answer 4

Okay, let me try to graph those.

Answer 5

I should have re-written those points as (0,4) and (4,0), for clarity.

Answer 6

http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiJ4LTQiLCJjb2xvciI6IiMwMDAwMDAifSx7InR5cGUiOjEwMDAsIndpbmRvdyI6WyItNi41NiIsIjYuNDQiLCItNS45OCIsIjIuMDIiXX1d

Answer 7

I see you've graphed y=x-4. Is that equivalent to the relationship x+y=4?

Answer 8

DG: Wow, that online graphing utility is mighty nice! But I think you'd benefit more, in this case, if you'd please graph the 2 points mentioned above and then connect them with a straight line. Do that on paper. then compare your graph with the one you got by computer graphics.

Answer 9

I think it is equivalent to eh relationship because I changed it to slope-intercept form.

Answer 10

You graphed x-4. But if we solve x+y=4 for y, we get 4-x, wouldn't you say?

Answer 11

x + y = 4
-x = -x
----------------
y = 4 - x

Answer 12

Either graph those 2 points and connect them with a line, or use your graphing utility to graph 4-x.

Answer 13

Okay. I got it now. Thanks, and I am satisfied. :3

Answer 14

I'm glad. But we have yet to go through those 4 possible answers and to choose the correct one. You game for that?

Answer 15

I thought it essential that you have a clear picture of the graph of x+y=4 before trying to choose the correct answer.

Answer 16

I actually think I can do this on muh own. re, ill try. \o/ I also have to hurry up it's 11:40 pm.

Answer 17

Thanks!

Answer 18

:)