Question

Determine if the relationship represented in the table is linear. If it is linear, write an equation.

how do you determine if a table is linear here is the table I am looking at....

x 2 5 7 10 12 20

y -3 0 2 5 7 15

please guide me in the right direction...

Answer 1

pick a delta x. Say from 2to 5,or a deltax of 3
Notice the corresponding delta y is -3 to 0, a deltay of 3

slope= deltaty/deltax= 3/3=1

Now try it for other pairs.

Answer 2

7 to 10 would then be 3 and 2 to 5 is also 3 and then the last would be 12 to 20 would be 8 and 7 to 15 would be 8 so this would be a linear but then how do you write an equation?

Answer 3

y= mx+b

you know m as 1.

y= x+b
now put in any x,y pair, and solve for b.

Answer 4

y=1(3/8)+3?? is that right?

Answer 5

No. y=x+b
2=7+b
7-2=b I think you can get it from here :)