How exactly am I supposed to find the slope of the line passing through the points (–3, 4) and (–2, –9)?

slope = (4 -(-9))/(-3 - (-2))

= 13/-1
= -1

Surely you must have the definition of slope in your notes or in your text.

To find the slope of a line passing through two points, you can use the formula:

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

In this case, the coordinates of the first point are (-3, 4) and the coordinates of the second point are (-2, -9). Using the formula, we can plug in the values:

slope = (-9 - 4) / (-2 - (-3))
slope = (-9 - 4) / (-2 + 3)
slope = (-13) / (1)
slope = -13

Therefore, the slope of the line passing through the points (-3, 4) and (-2, -9) is -13.