Let's calculate the slope for each pair of points using the formula for slope.
Pair of points | x2−x1y2−y1 | Slope |
---|---|---|
(2,1), (4,13) | 4−213−1 | 6 |
(2,7), (14,5) | 14−25−7 | -61 |
(1,4), (7,5) | 7−15−4 | 61 |
(7,1), (10,2) | 10−72−1 | 31 |
As we see the third set of points is on a line with the slope 61. Therefore, option C is correct.