SOMEBODY PLEASE HELP ME WITH THIS PRACTICE SHEET!

Question

ms-brains · Answer

http://assets.openstudy.com/updates/attachments/568c3d8ee4b05c504da28815-ms-brains-1452031397617-practiceproblems.png

mathmale · Answer

How would you graph x+3y=6?

Please do graph this.  Use the Draw utility, below, or share a screen capture of your graph.

Next, how would you graph $$x+3y \le 6?$$

mathmale · Answer

What's the difference between the graphs?

ms-brains · Answer

Um... I really don't know how I am supposed to graph x+3y=6 ?

zepdrix · Answer

A nice easy way to graph a line is by finding two points that it passes through,
and drawing a line through them.

Let's try graphing the `intercepts`,
the locations where the function crosses through the axes.

$\large\rm x+3y=6$
The line passes through the x-axis when y=0,
$\large\rm x+3\cdot0=6$
What value of x makes this true?

ms-brains · Answer

x=3?

mathmale · Answer

But zepdrix' 2nd equation was x+3*0=^.   How did you get x=3 from that?  Try again.

Hint:  3*0=?

ms-brains · Answer

attachment

ms-brains · Answer

So x=0

ms-brains · Answer

@mathmale What next?

zepdrix · Answer

3*0 = 0, good, so then,$$\large\rm x+3\cdot0=6$$$$\large\rm x+0=6$$x must be 6........ yes?

ms-brains · Answer

Yeah

zepdrix · Answer

Sorry kinda busy :) Hard to stay focused here lol.

So that gives you one point on your line, x=6, y=0.
Written as the ordered pair (6,0)

zepdrix · Answer

Let's find the other intercept, when x=0,$$\large\rm x+3y=6$$$$\large\rm 0+3y=6$$Solve for y.

ms-brains · Answer

y=2?