Question

A line with a slope of -1/3 passes through the point (9,3). What is its equation in point-slope form?

Answer 1

The point-slope form:

$y-y_1=m(x-x_1)$

We have:

$(9,\ 3)\to x_1=9,\ y_1=3\\\\m=-\dfrac{1}{3}$

Substitute

$y-3=-\dfrac{1}{3}(x-9)$