Determine the slop of the line one have -1/2 -1/2 2 -2

To find the slope of a line given two points (x₁, y₁) and (x₂, y₂), we use the formula:

slope = (y₂ - y₁) / (x₂ - x₁)

In this case, the two points are (-1/2, -1/2) and (2, -2). Plugging in the values:

slope = (-2 - (-1/2)) / (2 - (-1/2))
= (-2 + 1/2) / (2 + 1/2)
= (-3/2) / (5/2)
= (-3/2) * (2/5)
= -6/10
= -3/5

Therefore, the slope of the line is -3/5.