Question

Please help!

Answer 1

Two graphs are shown below:

graph A shows scatter points 1, 3 and 2, 5 and 3, 7 and 4, 9 and 5, 11graph A shows scatter points 1, 11 and 2, 9 and 3, 7 and 4, 5 and 5, 3

Which scatter plot shows a linear relationship between x and y?
Only graph A
Only graph B
Both graph A and graph B
Neither graph A nor graph B

Answer 2

Here is the graph:
http://prntscr.com/88hmnm

Answer 3

You can see if the points have a pattern
(x,y) \(\Longrightarrow\) (x+a)(y+b)

Answer 4

(1,3) \(\Longrightarrow\) (1+\(\color{red}{1}\))(3+\(\color{blue}{2}\))=(2,5)

(2,5) \(\Longrightarrow\) (2+\(\color{red}{1}\))(5+\(\color{blue}{2}\))=(3,7)

(3,7) \(\Longrightarrow\) (3+\(\color{red}{1}\))(7+\(\color{blue}{2}\))=(4,9)

agree that this is the pattern here?

Answer 5

1,2?

Answer 6

What do you mean?

Answer 7

I can't answer a question if I don't know what's asked.

Answer 8

So we have showed that the pattern here is indeed:
(x,y) \(\Longrightarrow\) (x+\(\color{red}{1}\))(y+\(\color{blue}{2}\))

So each time you are adding 1 to the x, you are adding 2 to the y.
(Saying as the grph goes \(\color{red}{1}\) unit right, it goes \(\color{blue}{2}\) units up)

(lets call change in x, \(\Delta x\) AND lets call change in y, \(\Delta y\) )

\({\rm m}~=~\dfrac{\Delta y}{\Delta x}=\dfrac{\color{blue}{2}}{\color{red}{1}}=\bf 2\)

So the set of point A, is a line with a slope of 2:)