Question

graph all solutions to the following 2x+3y=6

Answer 1

solve for y
y = (6-2x)/3

Answer 2

plug into graphing calc

Answer 3

thanks but i dont have one

Answer 4

try this: http://www.wolframalpha.com/

Answer 5

i used matlab to plot this.

Answer 6

plug the equation i gave u in there and then just copy it down

Answer 7

Or you could just... you know... plug in two points and use a ruler?!?

Answer 8

thank you I give it a try I am just having a hard time understanding how to plot or knowing when to when i look at a problem

Answer 9

Ok, well pick an x that's nice (say 0). Then plug it in and find out what y is.

Answer 10

what do you get for y?

Answer 11

I did not know should I replace x with a 0?

Answer 12

y = 3

Answer 13

y= 0,3

Answer 14

(x,y) = (0,3). Then do the same thing for y (plug in a 0) and find a second point

Answer 15

for (x,y) = (?,0)

Answer 16

Kool thank you so my answer is x=0,3 and y= 3,0?

Answer 17

no

Answer 18

When you plug in a 0 for x you get y = 3 that's correct. That gives you the point
(x,y) = (0,3). If you plug in a 0 for y you have this equation:

\[0 = (6-2x)/3\]

Answer 19

Which gives you
\[x=3\] sorry, missread it. Ok, so now you have a second point (x,y) = (3,0)

Answer 20

So you draw a Cartesian grid and draw those two points, then connect them with a straight line. That line represents all the x,y pairs that are solutions to the equation.

Answer 21

You are so smart, that actually makes sense but what about y=5x-1 do i still use 0?

Answer 22

would I go up 5 and down 1??

Answer 23

If you are just being asked to graph it you can plug anything you want in for x or y (but not both!) then solve for the one you didn't plug in and you will have a point on the graph.