The equation of a line in point-slope form is given like this:
y - y1 = m(x - x1)
Where m is the slope, x1 and y1 are the x and y-coordinates of a point where the line passes through.
In this case, we are told that the slope of the mine equals 1/5 and that it goes through the point (8, 7), by replacing 1/5 for m, 8 for x1 and 7 for y1, we get:
y - 7 = 1/5(x - 8)
Then, the equation of the line in point-slope form is y - 7 = 1/5(x - 8)