Andy, this is the solution to the exercise:
Step 1: Let's take two ordered pairs from the table and calculate the slope, as follows:
(2, 5) and (8, 14)
m = (14 - 5)/(8 - 2)
m = 9/6
m = 3/2 (Simplifying)
Step 2: Let's calculate the y-intercept, this way:
Let's recall that the standard form of equation of a line is:
y = mx + b
Replacing by the values we know:
14 = 3/2 * 8 + b
14 = 12 + b
b = 14 - 12
b = 2 (y-intercept)
Step 3: Now we can write the equation for this function, as follows:
y = 3/2x + 2