the pair of points (-4,y)and (6,5) lie on a line with a slope of .
To find the slope between two points, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (-4, y) and (6, 5), we can substitute their values into the formula:
m = (5 - y) / (6 - (-4))
Simplifying further:
m = (5 - y) / (6 + 4)
m = (5 - y) / 10
Therefore, the slope of the line passing through the points (-4, y) and (6, 5) is (5 - y) / 10.