Final answer:
The slope of the line is 0.
Step-by-step explanation:
The slope of a line can be found using the formula:
slope = (y2 - y1) / (x2 - x1)
For the given points f(2)=7 and f(-4)=7, the coordinates are (2, 7) and (-4, 7), respectively. Plugging these values into the formula, we get:
slope = (7 - 7) / (-4 - 2) = 0 / -6 = 0
Therefore, the slope of the line containing the points f(2)=7 and f(-4)=7 is 0.