Find an equation for the line that passes through the points $(-6,-6)$ and $(2,4)$.

Step 1 ：Given two points (-6,-6) and (2,4), we need to find the equation of the line passing through these points.

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

Step 3 ：Substituting the given points into the formula, we get \(m = \frac{4 - (-6)}{2 - (-6)} = 1.25\).

Step 4 ：Once we have the slope, we can use the point-slope form of a line, \(y - y1 = m(x - x1)\), to find the equation of the line.

Step 5 ：Substituting the slope and one of the points into the formula, we get \(y - (-6) = 1.25(x - (-6))\).

Step 6 ：Solving for y, we get \(y = 1.25x + 1.5\).

Step 7 ：Final Answer: The equation of the line that passes through the points (-6,-6) and (2,4) is \(\boxed{y = 1.25x + 1.5}\).