Find the slope of the line containing the two points (1,-1) and (-5,-3).

slope = (difference in the y's)/(difference in the x's)

= (-3 - (-1))/(-5 - 1)
= -2/-6
= 1/3

To find the slope of a line passing through two points, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

Here, the two points are (1, -1) and (-5, -3).

Let's substitute the values into the formula:

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

Simplifying further:

slope = 1/3

So, the slope of the line passing through the points (1, -1) and (-5, -3) is 1/3.