Final answer:
The slope of the line passing through the points R(-1, 1), S(2, 4), and T(6, 8) is 1, which does not match any of the given options in the question. Thus, there appears to be an error in the provided choices.
Step-by-step explanation:
The question asks to find the slope of a line that passes through the points R(-1, 1), S(2, 4), and T(6, 8). To determine the slope,
we use the formula slope = (y2 - y1) / (x2 - x1), where x1, y1 and x2, y2 are the coordinates of any two different points on the line. In this case, let's use points S(2, 4) and T(6, 8).
Substitute the coordinates into the slope formula:
slope = (8 - 4) / (6 - 2) = 4 / 4 = 1
So the line has a positive slope, making the correct answer:
b. 1/2
However, our calculation shows a slope of 1, not 1/2. Checking the provided answers against the calculated slope suggests there might be a typo in the options. Therefore, the correct slope based on our calculation is actually none of the given options, as the correct slope is 1.