Answer:
3x - 2y = 31
Step-by-step explanation:
The 2-point form of the equation for a line is useful for this. For points (x1, y1) and (x2, y2), it tells you ...
y = (y2 -y1)/(x2 -x1)·(x -x1) +y1
Substituting the given point values, we get ...
y = (4 -(-8))/(13 -5)·(x -5) +(-8)
y = (12/8)(x -5) - 8 = (3/2)(x -5) -8
Multiplying by 2 gives ...
2y = 3(x -5) -16
2y = 3x -15 -16
Adding 31-2y changes this to standard form:
3x -2y = 31
