Write the point-slope form of the equation of the line that passes through the points (5, -9) and (-6, 1). Include your work in your final answer. Type your answer in the box provided to submit your solution.

The point-slope form of a line is given by the formula:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is a point on the line.

First, we need to find the slope (m) of the line that passes through the points (5, -9) and (-6, 1). The formula to find the slope between two points (x1, y1) and (x2, y2) is:

m = (y2 - y1) / (x2 - x1)

Substituting the given points into the formula, we get:

m = (1 - (-9)) / (-6 - 5) = 10 / -11 = -10/11

Now that we have the slope, we can use the point-slope form to write the equation of the line. We can use either of the given points, but I'll use (5, -9). Substituting m = -10/11 and (x1, y1) = (5, -9) into the point-slope form, we get:

y - (-9) = -10/11 * (x - 5)

Simplifying this, we get:

y + 9 = -10/11x + 50/11

So, the point-slope form of the equation of the line that passes through the points (5, -9) and (-6, 1) is:

y + 9 = -10/11x + 50/11