Destinyyyy
  • Destinyyyy
Graph the following region-- 2x-5y>=0
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Ignoring the idea of regions, would you know how to graph 2x-5y = 0 as a line?
Destinyyyy
  • Destinyyyy
No.. I could if zero was another number. I have no examples for this kind of problem
anonymous
  • anonymous
The fact that the other number is 0 actually just means that you have a y-intersect of 0. Are you familiar with slope-intercept form?

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Destinyyyy
  • Destinyyyy
Yes
anonymous
  • anonymous
Alright. So if I were to put your inequality into slope-intercept form I would have: \(2x - 5y \ge\ 0\) \(2x \ge\ 5y\) \(\frac{2}{5}x \ge\ y\) So that it maybe looks in a better order, let's rewrite this as \(y \le\ \frac{2}{5}x\) Now, you know slope-intercept form is \(y = mx+b\) where m is the slope and b is the y-intercept. So here we have a slope of 2/5, but no value for b. This means that the y-intercept is 0. So with that information, we can graph this line. Would you be able to graph it given the info above?
anonymous
  • anonymous
Graph just the line I mean, don't worry about the region part yet.
Destinyyyy
  • Destinyyyy
Yes?
anonymous
  • anonymous
Just making sure :) Well, if we start from the y-intercept of 0 and use a slope of 2/5, we can get this line: |dw:1433634764962:dw| So how the line is drawn makes sense?
Destinyyyy
  • Destinyyyy
Yes!
anonymous
  • anonymous
Okay, so now the region part. So when the inequality says \(y \le\ \frac{2}{5}x\), it's saying that the correct y-values must be less than or equal to the line. As in the region we want are all the y-values on the line and under the line, meaning we would have this: |dw:1433634956029:dw| So basically, once you put a line into slope-intercept form, if you have \(y \le\) , you're graphing everything under the line and if you have \(y \ge\), you're graphing everything above the line.
Destinyyyy
  • Destinyyyy
Okay. Thank you!
anonymous
  • anonymous
You're welcome
Destinyyyy
  • Destinyyyy
Im removing the metal. The answer you gave me was incorrect. @Concentrationalizing
anonymous
  • anonymous
I dont see how. This is the plot of the graph http://www.wolframalpha.com/input/?i=2x-5y+%3E%3D0 @Destinyyyy
Destinyyyy
  • Destinyyyy
This is what the question says is the answer
anonymous
  • anonymous
The correct answer is how I graphed it above. The slope is 2/5, so every point is up 2 and right 5 from the previous point. The way you graphed the line in the screenshot is with a slope of 5/2. But I gave the correct graph.
Destinyyyy
  • Destinyyyy
The first graph is the correct answer the second is my answer (what you gave me).
anonymous
  • anonymous
Right, and that first graph is what I gave you. I'm not sure where you're seeing that my graph is the graph on the right of your screenshot. |dw:1433636211206:dw| Those are the points on my graph and the points on the graph marked as correct on your screenshot.
Destinyyyy
  • Destinyyyy
My apologies I wrote it on my paper wrong.
anonymous
  • anonymous
I see. I don't mind being wrong and corrected when I am wrong, but as long as you get the correct answer and understand it, then that's what matters. Sorry if there was any confusion.

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