The linear equation in the point-slope form is y - 2 = -5*(x - 3)
How to write the linear equation?
If a line passes through a point (a, b) and it has a slope m, then the point-slope form of the line is given by:
y - b = m*(x - a)
Here we have:
m = -5
(a, b) = (3, 2)
Then we can replace the correspondent values in the general equation above to get:
y - 2 = -5*(x - 3)