How would I graph x - 2y = 10?

Question

How would I graph x - 2y >= 10?

ria23 · Answer

$$x - 2y \ge 10$$

zepdrix · Answer

Yhu again -_-

ria23 · Answer

Haha, ^u^ Hi!

zepdrix · Answer

Ok so like, you remember how to graph stuff when it's $\Large\rm y=(stuff)$.
So first try to get it into that form.

ria23 · Answer

XD I got that much... Not really sure how to tho...

zepdrix · Answer

$$\Large\rm x - 2y \ge 10$$Mmm I guess we'll start by subtracting x from each side,$$\Large\rm -2y \ge -x+10$$Mmmmm what next?

ria23 · Answer

Um... Yhu have to get y by itself,,, So yhu divide both sides by negative 2 right?

zepdrix · Answer

ye.
Do you remember what happens when you `divide a negative across an inequality`?

ria23 · Answer

Does is... Switch signs?

ria23 · Answer

it*

zepdrix · Answer

Yeh :U It switches directions.

zepdrix · Answer

$$\Large\rm -2y \ge -x+10$$Becomes:$$\Large\rm y \le \frac{1}{2}x-5$$

zepdrix · Answer

x/2 is the same as (1/2)x.
I wrote it that way so we can identify the slope easier.

zepdrix · Answer

So first think about $\Large\rm y=\dfrac{1}{2}x-5$.


Understand how to graph that?
Do it -_-

ria23 · Answer

xD So bossy.|dw:1413006847932:dw|

zepdrix · Answer

Mmm I wish you wouldn't draw your axes so weirdddd :(
We can't see most of the line... grr

ria23 · Answer

XD sorry... I just kind of drew it and added as I went

zepdrix · Answer

|dw:1413006953160:dw|Mmmm ok how bout we use this -_-