what is the slope of the line that contains the points (2,-5) and (-4,-1)
To find the slope of a line, you can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
In this case, let's label the points as (x₁, y₁) = (2, -5) and (x₂, y₂) = (-4, -1). The change in y-coordinates is (y₂ - y₁) = (-1 - (-5)) = 4, and the change in x-coordinates is (x₂ - x₁) = (-4 - 2) = -6.
Now, substitute these values into the slope formula:
slope = (change in y-coordinates) / (change in x-coordinates)
= 4 / -6
Therefore, the slope of the line that contains the points (2, -5) and (-4, -1) is -2/3.