Posted by Lisa on .
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...

Algebra 
bobpursley,
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. 
Algebra 
Lisa,
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?

Algebra 
bobpursley,
y= mx+b
you know m as 1.
y= x+b
now put in any x,y pair, and solve for b. 
Algebra 
Lisa,
y=1(3/8)+3?? is that right?

Algebra 
Tammy,
No. y=x+b
2=7+b
72=b I think you can get it from here :)