Final answer:
To write the linear function rule for the line passing through the points (2,18) and (8,24), we can use the point-slope form of a linear equation. The linear function rule is y = x + 16.
Step-by-step explanation:
To write a linear function rule in terms of x and y for the line passing through the points (2,18) and (8,24), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1). First, we need to find the slope (m) of the line using the formula m = (y2 - y1) / (x2 - x1). Plugging in the coordinates of the two points, we get m = (24 - 18) / (8 - 2) = 6 / 6 = 1. Now, we can choose one of the points and substitute its x and y values and the slope into the point-slope form to find the linear function rule. Let's use the point (2,18). Plugging in the values, we get y - 18 = 1(x - 2), which simplifies to y - 18 = x - 2. By isolating y, we get the linear function rule y = x + 16.