The y-intercept of the graph of this linear function is -27. This means that the graph intersects the y-axis at the point (0, -27).
Let's choose two points from the table, for example, (2, -5) and (3, 6). Using these points, we can find the slope of the function using the formula:
slope = (change in y) / (change in x)
Using the points (2, -5) and (3, 6), we have:
slope = (6 - (-5)) / (3 - 2)
slope = 11 / 1
slope = 11
Now that we have the slope, we can find the equation of the linear function in the form y = mx + b, where m is the slope and b is the y-intercept.
Using one of the points, (2, -5), and the slope we found, the equation becomes: -5 = 11(2) + b
Simplifying this equation gives: -5 = 22 + b
To isolate b, we subtract 22 from both sides:
-5 - 22 = b
-27 = b
Therefore, the y-intercept of the graph of this linear function is -27.