What is the point slope of the line with the slope of-13

The point slope form is y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁) is the point.

You stated that the slope is -13 and that the point is (5,7)

Plugging that in, you get:

y - 7 = -13(x - 5)

That is your final answer.
A little note/tip, if you ever want to change from point-slope form to slope-intercept form, all you have to do is solve for y. :)

The correct answer is y=1/2x+1