Find the slope of the line containing the pair of points. \[ (-7,-10) \text { and }(-5,11) \]

Step 1 ：Given two points (-7,-10) and (-5,11), we are asked to find the slope of the line containing these points.

Step 2 ：The formula to calculate the slope of a line containing two points (x1, y1) and (x2, y2) is \(m = \frac{y2 - y1}{x2 - x1}\).

Step 3 ：Substituting the given points into the formula, we get \(m = \frac{11 - (-10)}{-5 - (-7)}\).

Step 4 ：Simplifying the above expression, we get \(m = 10.5\).

Step 5 ：Final Answer: The slope of the line containing the pair of points (-7,-10) and (-5,11) is \(\boxed{10.5}\).