Final answer:
The slope of the line passing through the points (-2, 5) and (6, -3) is calculated as -1 by using the formula for slope, which relates the change in y over the change in x.
Step-by-step explanation:
The slope of a line that passes through two points can be calculated using the formula slope (m) = Δy / Δx, where Δy is the change in the y-values and Δx is the change in the x-values of the two points. Using the points given, (-2, 5) and (6, -3), we can calculate the change in y as (-3 - 5) and the change in x as (6 - (-2)), which yields Δy = -8 and Δx = 8. Therefore, the slope m is Δy / Δx = -8 / 8 = -1.