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Mathematics 8 Online
jakfishman:

ok i need help

Laylalyssa:

k

jakfishman:

ramen:

Well we know that X always goes up by 1, so for the x column, it would be 1,2,3,4,5 but for the y column, what is the pattern that you see between the numbers 1,5,9, and 13? I am also pretty sure you can include 1,5,9,and 13 into the y column.

jakfishman:

wait what

ramen:

What part are you confused on?

jakfishman:

I am also pretty sure you can include 1,5,9,and 13 into the y column. this part

ramen:

So you see how Y has 1 already filled out in the first row? You can add 5,9, and 13 in the following rows because that is given.

jakfishman:

ohhhh okk

ramen:

|dw:1606695014866:dw|

ramen:

Now we just need to know what value follows 13. What is the answer when you get 13-9? This is the number you add to 13 to get to the next y value.

jakfishman:

(5,17)

ramen:

Yes that is correct. Now you know what the common difference is between each of the y values, we just need to graph it now. When graphing can you just plot all the points from the table and draw a line through them?

jakfishman:

ye hold on

jakfishman:

ramen:

Not quite, from you got the point (1,1) right, but the next point (2,5) is a bit off. Right now instead of (2,5) you have (2,4). And also please make sure that the dot on (1,1) is directly on (1,1)

jakfishman:

the second one is on 2,5

jakfishman:

the lines not tho

ramen:

It just looks a bit off to me. I think it is because the point (1,1) where the dot is is a bit to high when you graphed it.

ramen:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jakfishman the lines not tho \(\color{#0cbb34}{\text{End of Quote}}\) Oh like the software you are using says the second point is on (2,5) and the first point is on (1,1)?

jakfishman:

jakfishman:

yea

ramen:

Ok that image looks a lot better and it looks correct to me.

jakfishman:

ramen:

Common difference is just the difference between the y values. The difference between all y values is the same, so what is 13-9? That is the common difference.

jakfishman:

4

jakfishman:

only thing is the last one says the slope

ramen:

Remember the average rate of change formula? so y2-y1/x2-x1. Pick any 2 coordinates for example (1,1) and (2,5). Fill in the blanks of the formula. So Y2-y1 would just be subtracting both y values from the 2 coordinates which would be 5-1. For x2-x1, that would just be subtracting the x values from both the 2 coordinats which would be 2-1. What is (5-1)/(2-1)?

jakfishman:

4

ramen:

Yes that is correct. The slope is 4 which is also the same as your common difference.

jakfishman:

thank you @ramen for helping me.

ramen:

Np. Did you get it right?

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