To find the equation of a line in point-slope form, we can use the formula:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line, and m is the slope of the line.
Let's calculate the slope first using the given points:
m = (9 - (-3)) / (-2 - 5) = 12 / (-7) = -12/7
Now we can choose one of the points, let's say (5, -3), and substitute the values into the equation:
y - (-3) = (-12/7)(x - 5)
Simplifying this equation gives us the equation in point-slope form.