Answer: y-9=(1/3)(x-3)
Step-by-step explanation: To find the point-slope form of a linear function, we can use the formula:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope of the line.
Given the points (3,9) and (12,12), we can first calculate the slope:
slope = (change in y) / (change in x) = (12 - 9) / (12 - 3) = 3 / 9 = 1/3
Now, let's choose one of the points to plug into the formula. Let's use (3,9):
y - 9 = (1/3)(x - 3)
This is the point-slope form of the linear function that passes through the points (3,9) and (12,12).