Final answer:
The slope of the line passing through (1, 3) and (7, 6) is 1/2. The slope of the line passing through (0, 5) and (-2, 9) is -2.
Step-by-step explanation:
The slope of a line can be found using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
To find the slope of the line passing through the points (1, 3) and (7, 6), we substitute the coordinates into the formula: m = (6 - 3) / (7 - 1) = 3/6 = 1/2.
The slope of the line passing through the points (0, 5) and (-2, 9) can be calculated using the same formula: m = (9 - 5) / (-2 - 0) = 4 / -2 = -2.