find the slope (rate of change) of a line that passes through (-2, -3) and (1, 1).

To find the slope (rate of change) of a line passing through two points, we can use the formula:

slope = (y2 - y1) / (x2 - x1),

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Given the points (-2, -3) and (1, 1), we can substitute the coordinates into the formula:

slope = (1 - (-3)) / (1 - (-2))
= 4 / 3.

Therefore, the slope (rate of change) of the line passing through (-2, -3) and (1, 1) is 4/3.