Answer:
5x -y = -13
Step-by-step explanation:
The given equation is in point-slope form. When we replace the point coordinates with the given point, we have ...
y +7 = 5(x +4) . . . . slope remains the same
y +7 = 5x +20 . . . . . eliminate parentheses
7 = 5x -y +20 . . . . . subtract y
-13 = 5x -y . . . . . . . . subtract 20
5x -y = -13 . . . . . . . . swap sides for standard form
_____
The point-slope form is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
