The data in the table illustrates a linear function. What is the slope of the linear function?

Question

x| 0| 2|4|6
y|-5|-2|1|4

Please shoe me how to figure this out? Thank you.

Answer 1

when x increases by 2, y increases by 3. So, start with

y = 3/2 x

But y(0) would be 0, and the table says it is -5. So,

y = 3/2 x - 5