Answer:
The function rule for this set of ordered pairs is y = 2x + 1.
This can be determined by using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.
The slope (m) can be calculated by using the formula:
m = (change in y) / (change in x)
For the ordered pair (1, 3) and (3, 7), we can see that change in x = 3 - 1 = 2 and change in y = 7 - 3 = 4, so m = 4/2 = 2.
Then, using any of the point we can find the b which is y-intercept. let's take the point (-2, -3) and substitute the values in the function y = 2x + b
-3 = 2(-2) + b
-3 = -4 + b
b = 1
So, the function rule is y = 2x + 1