What is the slope of the line that passes through the pair of points (3, –4), and (5, –7)?

To find the slope of the line passing through the points (3, -4) and (5, -7), we will use the slope formula:

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

Where:
(x1, y1) = (3, -4)
(x2, y2) = (5, -7)

Plugging the values into the formula:

m = (-7 - (-4)) / (5 - 3)
m = (-7 + 4) / 2
m = -3 / 2
m = -1.5

Therefore, the slope of the line passing through the points (3, -4) and (5, -7) is -1.5.