Help please

Question

Help please

anonymous · Answer

Choose the linear inequality that describes each graph.

anonymous · Answer

y < – 4x – 2
	y > – 4x – 2
	y ≤ – 4x – 2
	y < 4x – 2

zale101 · Answer

Are you familiar with graphing inequalities?

anonymous · Answer

No, not really.. I barely understand Algebra

zale101 · Answer

Can you graph a standard line?

anonymous · Answer

Not really

zale101 · Answer

What math level are you currently on?

anonymous · Answer

Algebra 1B

zale101 · Answer

Before learning to graph inequalities, you are taught to graph lines and plot basic points. Correct?

anonymous · Answer

I really don't know.. because I took half of Algebra like independent studies there was no teacher to explain what I was taking.

zale101 · Answer

Btw, asalaam walikum and i hope Yemen will be freed soon.

zale101 · Answer

Okay. So then i'd have to tutor you on graphing lines. Are you ready?

anonymous · Answer

wa alaikum asalam, and in shaa Allah hopefully thanks

anonymous · Answer

Yes :)

zale101 · Answer

Let's began with the first multiple choice. 
	y < – 4x – 2

zale101 · Answer

Every line has an equation written similar to the slope intercept form. The slope intercept form of equation is written like this : $\Large y=mx+b$

m stands for slopes
b stands for y-intercept (where the line touches the y-axis and has a x=0)
and x and y are changing, while m and b are constants.

zale101 · Answer

When we have inequalities, we'll have to try to see if from a y=mx+b perspective so we can get a sense on what line we are dealing with. To do that, you basically change any inequality symbols (>, <) to an equal sign. 

So, 	$\large y ~<~ – 4x – 2$
Will eventually become,  $\Large y=-4x-2$

zale101 · Answer

The line is y=-4x-2
Is this equation already in a slope intercept form?

anonymous · Answer

what does it mean when you have ≤ this sign

zale101 · Answer

If we have this, let's say  $y\le x$
That means all the y values are less than or equal to x are shaded and the line is straight and bold, not dashed. It would have been a dashed line if the symbols were just less than or greater than (<,>). But when we add an equal sign next to the inequality, than it becomes a bold line.
So, when graphing it, it will become like this.|dw:1439489341719:dw||dw:1439489445470:dw|