Final answer:
The slope of the line passing through the points (-2, 5) and (2, -5) is calculated using the slope formula (rise over run), resulting in a slope of -2.5.
Step-by-step explanation:
To calculate the slope from the given pairs ( -2, 5), (2, -5), we use the slope formula which is the difference in the y-values divided by the difference in the x-values of the two points. This is also known as 'rise over run'.
The formula to find the slope m is:
m = (Y2 - Y1) / (X2 - X1)
Plugging in the values from the points given, we find:
m = (-5 - 5) / (2 - (-2))
= (-10) / (4)
= -2.5
Therefore, the slope of the line passing through the points (-2, 5) and (2, -5) is -2.5.