Final answer:
The slope of a line passing through the points (-1, 2) and (0, -3) is calculated using the slope formula and is found to be -5.
Step-by-step explanation:
Calculating the Slope of a Line Through Two Points
The rate of change of a line that passes through the points (-1,2) and (0,-3) is otherwise known as the slope of the line. To calculate the slope, which is the same all along a straight line, we use the formula slope (m) = (y2 - y1) / (x2 - x1). Plugging in our points, we have m = (-3 - 2) / (0 - (-1)) = -5 / 1 = -5.
The slope is the ratio of the vertical change ('rise') to the horizontal change ('run') between two points on a line. In our case, for every 1 unit of horizontal change to the right, the line falls 5 units vertically. Hence, the slope of the line passing through (-1, 2) and (0, -3) is -5.