Question

What is the point-slope equation of the line with slope -13 that goes through the point (5,7)

Answer 1

Point slope formula: 
$y-y_1=m(x-x_1)$

We know that:
m=-13 
y1=7
x1=5
Plug those into the equation to get a final answer of:
$y-7=-13(x-5)$