Final answer:
The slope between the points (3, -5) and (-1, 7) is found using the slope formula and results in a slope of -3.
The correct answer is C.
Step-by-step explanation:
The slope of a line passing through two points can be found using the slope formula which is (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, the points are (3, -5) and (-1, 7).
To find the slope between (3, -5) and (-1, 7), follow these steps:
- Subtract the y-coordinate of the second point from the y-coordinate of the first point: 7 - (-5) = 7 + 5 = 12.
- Subtract the x-coordinate of the second point from the x-coordinate of the first point: -1 - 3 = -4.
- Divide the difference in y-coordinates by the difference in x-coordinates: 12 / (-4) = -3.
Therefore, the slope between these two points is -3, which corresponds to option c).
J11