Question

One of the tables below contains (x,y) values that were generated by a linear function. Determine which table, and then write the equation of the linear function represented by the table
The tables
http://i.imgur.com/nS4iKVk.png

Answer 1

Does anyone understand this?

Answer 2

Since it's a linear function, the slope will be the same for the entire line.
\[y=mx+b\]That is the equation for a linear slope. So to find out which of the tables is correct, you check the slope points on each table to see which table has slopes which are the same. For that you use the following equation:
\[m=\frac{ \Delta y }{ \Delta x }=\frac{ y_2-y_1 }{ x_2-x_1 }\]
If you do that, you will notice that table #3 will have the same slope along its points, try it.
The next step is to use the y=mx+b to solve for b by plugging in your slope (m) and an (x,y) point from the table.

Answer 3

can you show me how step by step?

Answer 4

Look at Table 3.
Subtract 6 - 1 and 4 - 2. What do you get?

Answer 5

5, 2

Answer 6

now i do the rest?

Answer 7

Were you able to find the linear equation for table 3?

Answer 8

no :/

Answer 9

i know it

Answer 10

but i gtg i teach at harvard

Answer 11

Anyone?

Answer 12

ok

Answer 13

i made a subsitute come in

Answer 14

:/

Answer 15

http://openstudy.com/users/shantelt1#/updates/528febbae4b091ced3d6bf33