Final answer:
The linear function that represents a positive slope is y = 4x - 8.
Step-by-step explanation:
The linear function that represents a positive slope is the one described by the coordinate plane with points (2, 0), (3, 4), and (4, 8).
The slope of a line is calculated by finding the change in y divided by the change in x, or rise over run. In this case, the change in y is 8 - 0 = 8, and the change in x is 4 - 2 = 2. So the slope is 8/2 = 4.
The equation for a line with slope 'm' passing through the point (x1, y1) is y - y1 = m(x - x1). Plugging in the values, the equation becomes y - 0 = 4(x - 2), which simplifies to y = 4x - 8.