Answer:
5x +14y = -21
Explanation:
One way to write the equation of a line from two points is ...
(y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0
(1 -(-4))(x -7) -(-7 -7)(y -(-4)) = 0
5(x -7) +14(y +4) = 0
5x +14y -35 +56 = 0
5x +14y = -21 . . . standard form equation of the line