Answer:
Step-by-step explanation:
As we move from (3, 6) to (5, 18), x increases by 2 (this is the "run") and y increases by 12 (this is the "rise").
Thus, the slope of this line is m = rise / run = 12 / 2, or m = 1/6.
Apply the slope-intercept form of the equation of a straight line:
y = mx + b becomes 6 = (1/6)(3) + b after substituting the coordinates 3 and 6. Then 6 = 1/2 + b, or 5 1/2 = b.
Then the equation of this line is y = (1/6)x + 11/2.
In functional notation, that would be f(x) = (1/6)x + 11/2.
