Question

Can someone write the point slope equation

Answer 1

Point-slope form is one way of describing a straight line. It is useful when you have a line to be described and you know the coordinates of one point on the line and its gradient (slope).

The point-slope form equation of a straight line for a slope, m, and known coordinate $(x_1, y_1)$ is $y-y_1=m(x-x_1 )$.

So for your question you have $(x_1, y_1) = (4, -9)$ and slope = m = -1. You just put these numbers into the formula $y-(-9)=-1(x-4)$ and this is your answer: the equation of the line.