Final answer:
The slope of the line passing through the points (-2,5) and (2,0) is calculated using the slope formula, resulting in a slope of -5/4.
Step-by-step explanation:
To find the slope of the line that passes through the points (-2,5) and (2,0), you can use the slope formula which is the change in y divided by the change in x (also known as 'rise over run'). In this case, you would subtract the y-values of the two points and divide by the difference of the x-values of the points, following this formula:
Slope (m) = (y2 - y1) / (x2 - x1)
So, we have:
Slope (m) = (0 - 5) / (2 - (-2)) = (-5) / (4) = -5/4
This result means that for every four units you move to the right along the horizontal axis, the line moves down by five units on the vertical axis.