Step 1 :Substitute x = -2 into the equation 4x - 5y = 17 to find the missing y-coordinate.
Step 2 :The equation becomes -8 - 5y = 17.
Step 3 :Solving for y, we get y = -5.
Step 4 :\(\boxed{(-2, -5)}\) is the ordered-pair solution to the given linear equation.