to prove that the table is generated from a linear function, lets consider a linear equation
y = 2x + 1
so lets start substituting the value of x into the equation to know if we will get the value of y to confirm it its a linear function
when x = 1
y = 2x + 1
y = 2(1) + 1
y = 2 + 1
y = 3
when x = 2
y = 2(2) + 1
y = 4 + 1
y = 5
when x = 3
y = 2(3) + 1
y = 6 + 1
y = 7
when x = 4
y = 2(4) + 1
y = 8 + 1
y = 9
so from what we have calculated so far, it can be seen that the table is generated from a linear function
therefore the answer is Yes.y