Final answer:
The slope of the line passing through the points (4, -3) and (-2, 5) is calculated using the slope formula and is -4/3, indicating a straight line with a negative slope, which is not one of the provided multiple-choice options.
Step-by-step explanation:
To find the slope of a line passing through two points, you can use the slope formula:
Slope (m) = Δy / Δx = (y2 - y1) / (x2 - x1)
Let's substitute the given points into the formula:
- Point 1: (4, -3)
- Point 2: (-2, 5)
Slope (m) = (5 - (-3)) / (-2 - 4)
Slope (m) = (5 + 3) / (-2 - 4)
Slope (m) = 8 / -6 = -4/3
Therefore, the slope is not one of the provided options (A, B, C, D). The correct slope is -4/3, which suggests a straight line with negative slope.