Given the table, we need to find the variation between two consecutive values in x and y. If the variations are constant, we can find a constant ratio between (y2-y1)/(x2-x1). If so, the table represents a linear function.
The variation in y is always 1, so ok.
The variantion in x goes like: (-7-(-3)) =4
(-1-(-3))=4
(7-1) =6 -----> Because between these two the variation changes, it wasn't generated by a linear function.
Answer: No