Determine the Slope of a Line with Given Points

What is the slope of the line passing through the points (5/3, 5/2) and (-1/4, 1/2)?

Answer:

The slope of the line that passes through the given points (5/3, 5/2) and (-1/4, 1/2) is -24/17.

The subject of this question is Mathematics, specifically focusing on the calculation of the slope of a line in a coordinate plane. The slope (m) between two points (x1, y1) and (x2, y2) is calculated by the formula m = (y2 - y1) / (x2 - x1).

Applying the coordinates from the question into the slope formula, we calculate as follows: m = (1/2 - 5/2) / (-1/4 - 5/3). After calculating it, the answer is m = -24/17.