From the above table, We have to see what sort of function is it showing. Therefore, Taking the first difference of the y-values. We get, -2 , -2 , -2
The first difference is constant for all the y-values, that is -2. Therefore it is a linear function, So, using the general form, y = mx + b where m represent the slope and b represents the y-intercept. Now, We will use two coordinate points to find out the slope,
Let them be: (1,0) and (2,-2) So, m = 2 / -1 m = -2
Now the y-intercept,
As we know that, y = -2x + b
Take any point from the table, let it be (1,0)
substituting it into the equation, we get; 0 = -2(1) + b b = 2