Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4). 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 (-8, 2) and (1, -4). 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 = (-4 - 2) / (1 - (-8)) = -6 / 9 = -2/3

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 (-8, 2). Substituting m = -2/3 and (x1, y1) = (-8, 2) into the point-slope form, we get:

y - 2 = -2/3(x - (-8))

Simplifying this, we get:

y - 2 = -2/3x + 16/3

So, the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4) is y - 2 = -2/3x + 16/3.