Final answer:
The slope of the linear function L that contains the points (7,-6) and (9,0) is calculated using the formula for the slope of a line. It turns out to be 3, meaning the line rises 3 units for every 1 unit it moves horizontally.
Step-by-step explanation:
To find the slope of a line that passes through two points, you use the formula slope = (y2 – y1) / (x2 – x1). In this case, the line L contains the points (7, -6) and (9, 0). Plugging these values into the formula gives us:
slope = (0 - (-6)) / (9 - 7) = 6 / 2 = 3.
Therefore, the slope of the line L is 3, which means for every increase of 1 on the horizontal axis, there is a rise of 3 on the vertical axis. This is consistent with the property that a slope is the same all along a straight line.