11. (10 points) Find the equation of the line that passes through these two points: $(-6,-13)$ and $(6,-1)$

Step 1 ：Given two points (-6,-13) and (6,-1), we need to find the equation of the line that passes through these points.

Step 2 ：We start by finding the slope of the line using the formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Substituting the given points into the formula, we get \(m = \frac{-1 - (-13)}{6 - (-6)} = 1.0\).

Step 3 ：Next, we use the point-slope form of a line, which is \(y - y_1 = m(x - x_1)\), where m is the slope and (x1, y1) is a point on the line. We can use either of the given points for (x1, y1).

Step 4 ：Substituting the slope and one of the points into the point-slope form, we get \(y - (-1) = 1.0(x - 6)\). Simplifying this equation, we get \(y = x - 7\).

Step 5 ：Final Answer: The equation of the line that passes through the points (-6,-13) and (6,-1) is \(\boxed{y = x - 7}\).