Find the explicit formula and the type of function

X Y

-2 - 1

-1 - 3

0 - 5

1 - 7

2 - 9

Let's examine this, as x increases by 1, what happens to the y-value? The y-value decreases by 2, so the slope is - 2. When x = 0, we have our y-intercept, - 5. So we can fill in Slope form with the Slope and Y-intercept that the equation is:

y = - 2x - 5