Write the equation of the line that passes through the points (-6,-1) and (-4,2). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Step 1 ：First, we need to find the slope of the line. 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 2 ：Substitute the given points (-6,-1) and (-4,2) into the formula to find the slope: \(m = \frac{(2 - -1)}{(-4 - -6)} = 1.5\).

Step 3 ：Next, we use the point-slope form of a line, which is \(y - y1 = m(x - x1)\), where m is the slope of the line and \((x1, y1)\) is a point on the line.

Step 4 ：Substitute the slope and one of the points into the point-slope form to find the equation of the line: \(y - -1 = 1.5(x - -6)\).

Step 5 ：Simplify the equation by removing the double negatives and simplifying the right side of the equation: \(y + 1 = 1.5x + 9\).

Step 6 ：Final Answer: The equation of the line in fully simplified point-slope form is \(\boxed{y + 1 = 1.5x + 9}\).