Final answer:
The gradient of the line passing through (-1,-2) and (-5,-5) is 3/4.
Step-by-step explanation:
To find the gradient of a line that passes through two points, we can use the formula: m = (y2 - y1)/(x2 - x1). Let's apply this formula to the given points:
(x1, y1) = (-1, -2)
(x2, y2) = (-5, -5)
Using the formula, we get: m = (-5 - (-2))/(-5 - (-1))
Simplifying, we have: m = (-3)/(-4) = 3/4
Therefore, the gradient of the line is 3/4.