Write the point-slope form of the equation of the line that passes through the points (6, 6) 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 of the line that passes through the points (6, 6) and (-6, 1). The formula for the slope (m) is:

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

Substituting the given points into the formula, we get:

m = (1 - 6) / (-6 - 6) = -5 / -12 = 5/12

Now, we can use the point-slope form of the equation of a line to write the equation of the line that passes through the points (6, 6) and (-6, 1). We can use either point, but I'll use (6, 6):

y - 6 = 5/12 (x - 6)

So, the point-slope form of the equation of the line that passes through the points (6, 6) and (-6, 1) is y - 6 = 5/12 (x - 6).