anonymous
  • anonymous
Help please
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • anonymous
Choose the linear inequality that describes each graph.
anonymous
  • anonymous
y < – 4x – 2 y > – 4x – 2 y ≤ – 4x – 2 y < 4x – 2
Zale101
  • Zale101
Are you familiar with graphing inequalities?

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anonymous
  • anonymous
No, not really.. I barely understand Algebra
Zale101
  • Zale101
Can you graph a standard line?
anonymous
  • anonymous
Not really
Zale101
  • Zale101
What math level are you currently on?
anonymous
  • anonymous
Algebra 1B
Zale101
  • Zale101
Before learning to graph inequalities, you are taught to graph lines and plot basic points. Correct?
anonymous
  • anonymous
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
  • Zale101
Btw, asalaam walikum and i hope Yemen will be freed soon.
Zale101
  • Zale101
Okay. So then i'd have to tutor you on graphing lines. Are you ready?
anonymous
  • anonymous
wa alaikum asalam, and in shaa Allah hopefully thanks
anonymous
  • anonymous
Yes :)
Zale101
  • Zale101
Let's began with the first multiple choice. y < – 4x – 2
Zale101
  • Zale101
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
  • Zale101
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
  • Zale101
The line is y=-4x-2 Is this equation already in a slope intercept form?
anonymous
  • anonymous
what does it mean when you have ≤ this sign
Zale101
  • Zale101
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|
Zale101
  • Zale101
As you can see from the graph i drew, all the y-values on the bottom of the line is shaded because the inequality is y is less than or equal to x.
Zale101
  • Zale101
And the line is bold, not dashed, because there's an equal sign with the inequality.
Zale101
  • Zale101
Now, back to graphing the first multple choice y = – 4x – 2 Can you graph this?
anonymous
  • anonymous
okay I'll try to
Zale101
  • Zale101
Thanks. I like when students participate on their problems. It gives me the sense that they are trying their best on their work.
Zale101
  • Zale101
You can try. Allah M3ek :)
anonymous
  • anonymous
am I right so far |dw:1439489802302:dw|
Zale101
  • Zale101
Yes, you drew the Cartesian graph correctly. Now, you can go ahead and draw the line. It's okay if you make any mistakes because you have me to correct it for you.
Zale101
  • Zale101
Everyone makes mistakes, including me :)
Zale101
  • Zale101
You can start by quickly plotting two points, and draw a line across those two points.
anonymous
  • anonymous
okay so can u help me now, im not sure what im supposed to do
Zale101
  • Zale101
That's the easiest way to do it. There's also other ways to draw a line.
Zale101
  • Zale101
Okay @proud_yemeniah_ are you familiar with plotting points?
anonymous
  • anonymous
No
Zale101
  • Zale101
I will plot one point, and you do the second point. Make sure you follow along. |dw:1439490142436:dw|
Zale101
  • Zale101
My first point is (0,-2) You can pick whatever you want for x, i chose 0 and got -2 for y, and you can choose 1 if you want.
Zale101
  • Zale101
Makes sense?
anonymous
  • anonymous
so u just choose any number
Zale101
  • Zale101
Plotting points is all about choosing whatever number you want for x, and plug that number for x into the equation to get for y. Just like how I chose 0 and plugged that into y=-4(0)-2 and got -2 for y. Yes, you can choose any number.
Zale101
  • Zale101
What number would you like to choose?
anonymous
  • anonymous
so can I choose for example 3 or 2
Zale101
  • Zale101
Yes, whatever you want. What number will you choose?
anonymous
  • anonymous
I'll choose 2
Zale101
  • Zale101
plug that into the equation and tell me what you got for y
Zale101
  • Zale101
and i'll have to brb
anonymous
  • anonymous
okay, -4 (2) -2 ?
anonymous
  • anonymous
You can help me when u come back
Zale101
  • Zale101
I'm back. So you did: y=-4(2)-2 y=-8-2 y= ? what is y?
anonymous
  • anonymous
-10?
Zale101
  • Zale101
Yes. So we have two points. (0,2) and (2, -10) Can you plot these two points on this graph i drew? |dw:1439491250235:dw|
Zale101
  • Zale101
this is for the line y=-4x-2
anonymous
  • anonymous
I don't know how am I supposed to do it
Zale101
  • Zale101
Can you plot (2,-10)?
Zale101
  • Zale101
SOrry, i did something wrong
anonymous
  • anonymous
its okay, so -10 is Y?
Zale101
  • Zale101
|dw:1439491783291:dw|
Zale101
  • Zale101
yes, -10 is a y-value
Zale101
  • Zale101
(x,y) On a point, x is first, then y comes second.
Zale101
  • Zale101
Now, before you draw a line. Is the line dashed or bold in this inequality y < – 4x – 2 ?
Zale101
  • Zale101
Carefully look at the inequality symbol.
anonymous
  • anonymous
dashed?
Zale101
  • Zale101
Yes. So, our two points that we plotted we \((0,-2)\) and \((2,-10)\) We plotted those. The line is dashed. |dw:1439492035470:dw|
Zale101
  • Zale101
What part of the graph is shaded, right or left?
anonymous
  • anonymous
umm right
Zale101
  • Zale101
y < – 4x – 2 y is less than -4x-2
Zale101
  • Zale101
I'll change the wording. Is the graph shaded on the top or bottom of the graph?
anonymous
  • anonymous
the bottom?
Zale101
  • Zale101
Yes! :)|dw:1439492292123:dw|
Zale101
  • Zale101
Does this look like the graph that was shown to you?
anonymous
  • anonymous
No, this is the graph that was shown to me
anonymous
  • anonymous
the right side was shaded
Zale101
  • Zale101
Nope. It doesn't doe A is incorrect. We know from the graph that the line is dashed, that means the inequality is show as < or > We also know that the line is positive because it continuously goes up to the right on the positive direction. The first choice y < – 4x – 2 went downwards because it was negative 4x-2. We also know that the graph is less than than or < because the graph is shaded on the bottom of the line.
Zale101
  • Zale101
From all those choices, which choice best fits the description.?
anonymous
  • anonymous
well if negative doesn't work then it may be D
Zale101
  • Zale101
Yes.
Zale101
  • Zale101
I'm sorry if i have given you a hard time.
Zale101
  • Zale101
Now that you know how to graph a line and inequalities, then i have done my mission :)
anonymous
  • anonymous
Oh thank you very much.. No I actually liked going thru it and solving it together
Zale101
  • Zale101
Anytime. Good luck and take care!
anonymous
  • anonymous
You too thanks :) @Zale101

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