Final answer:
The slope of the line through points (0, 7) and (−3, 0) is 7/3, representing a positive slope. For points (1, 0.1) and (7, 26.8), the slope is approximately 4.5, again a positive slope. Option b
Step-by-step explanation:
The slope of a line passing through two given points can be calculated using the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the two points. For the points (0, 7) and (−3, 0), the slope is (0 - 7) / (−3 - 0) = −7 / −3 = 7/3. This corresponds to option b, which demonstrates it is a straight line with a positive slope.
If we consider another pair of points, for instance Point 1: (1, 0.1) and Point 2: (7, 26.8), applying the same slope formula would yield a result of (26.8 - 0.1) / (7 - 1) = 26.7 / 6 = 4.45, which can be rounded to 4.5 if we are choosing the closest option, corresponding to option b.