Hello! Can anyone help me with Algebra 2? First Problem: Determine whether each data set could represent a linear function. *I have attached the data table 1 and 2. If you know what this question...

Hello! Can anyone help me with Algebra 2?

First Problem: Determine whether each data set could represent a linear function.


*I have attached the data table 1 and 2. If you know what this question is asking, can you please show or explain it to me step by step? I want to know how to do it, I just don't want only the answer. I will be tested on this so I want to understand it. 

Second Problem: Determine whether each line is vertical or horizontal.

*I have attached another file that goes from #1-4. I want to know if what I'm supposed to do is plot the two x's on the x-axis and the two y's on the y-axis. But with that, I don't know how to determine whether they are horizontal or not. Any help? Yet again, please explain it too because there will be questions like these on my test. 

Third Problem: A line that has a slope of -2 and passes through (1,4).

I solved it with the method of the point-slope and my answer was: y=2x+6

My question is; how will I graph this? (y=2x+6)

Fourth Problem: Graph each inequality.

*I have attached the third file that is listed from A-C. I have already graphed A and B, but C is bit tricky. I am stuck on C. Is it easier than it seems? Omce again, I want to know how to solve/understand it. 

- signs of less than/greater than/less than or equal to/greater than or equal to ; I want to know if I did letters A and B correct. These signs are what we should use to color in the other half of the graph. For letter A, I colored the top half, and for B, I also colored the top half. Sorry if this doesn't make any sense but I am trying my best to explain it. 

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Sorry for all the question problems. I really do not understand them and I hope to find at least some help on them, if not all. I need to understand how to solve it because it's really hard for me to understand them, even though they may seem easy for some others. Thanks!

Asked on by rorimajo

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1 Answer | Add Yours

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embizze | High School Teacher | (Level 1) Educator Emeritus

Posted on

Determine if the data could represent a linear function:

(a) (9,2),(7,5),(5,10),(3,15) If these were points on the same line then the slope between any pair of points would be the same.

Between (9,2) and (7,5) the slope is `m=-3/2` while the slope between (7,5) and (5,10) is `m=-5/2` so this cannot be a line.

(b) (.5,9),(1,6),(1.5,3),(2,0) These points all lie on a line since the slope between any pair is `m=-1/6`

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Second problem --  any line of the form x=c is vertical, y=c is horizontal.

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Third problem -- The given slope is -2 but your answer has slope 2.

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