Answer: y = -2x -2
Explanation:
First, we want to find the slope. We can see that every time x goes up by one, y goes down by two. Slope is y/x, so we can say that the slope is -2/1 or just -2. Now we have y = -2x + b. To find b, we need to plug in one of the points in the chart. We will use (1, -4). So:
-4 = -2(1) + b
-4 = -2 + b
-2 = b
Therefore our b is -2, making the linear function equate to: y = -2x -2.