Final answer:
The point (-5,7) is located in Quadrant II of the Cartesian coordinate system because it has a negative x-value and a positive y-value.
Step-by-step explanation:
The point (-5,7) lies in Quadrant II of the coordinate system. In the Cartesian coordinate system, Quadrant II is defined by negative x-values and positive y-values. Since -5 is negative (horizontally to the left side of the coordinate system) and 7 is positive (vertically upward in the coordinate system), the point (-5,7) must be in Quadrant II, matching these conditions.