Final answer:
The slope of the line passing through points (7,-5) and (16,7) is 4/3 or approximately 1.33.
Step-by-step explanation:
The slope of a line that passes through two points can be found using the formula (y2 - y1) / (x2 - x1). For the points (7, -5) and (16, 7), the slope is (7 - (-5)) / (16 - 7), which simplifies to 12 / 9 and reduces further to 4 / 3 or approximately 1.33. The slope of a line can be found using the formula: m = (y2 - y1) / (x2 - x1)
Given the points (7,-5) and (16,7), we can substitute the values into the formula: m = (7 - (-5)) / (16 - 7) = 12/9 = 4/3
Therefore, the slope of the line passing through these two points is 4/3.