The point $(-2, 5)$ is located in the second quadrant.

Here's how we determine that:

• The x-coordinate is $-2$, which is negative.
• The y-coordinate is $5$, which is positive.

In the Cartesian plane:

• The first quadrant has both $x$ and $y$ positive.
• The second quadrant has $x$ negative and $y$ positive.
• The third quadrant has both $x$ and $y$ negative.
• The fourth quadrant has $x$ positive and $y$ negative.

Since the $x$-coordinate is negative and the $y$-coordinate is positive, the point $(-2, 5)$ is in the second quadrant.

Would you like further clarification? Here are some related questions for you:

1. How can you identify the other quadrants based on the signs of $x$ and $y$?
2. What is the significance of the origin $(0, 0)$ in determining the quadrants?
3. How do you find the distance between the origin and a point in a specific quadrant?
4. What happens when a point lies on the axis (i.e., where either $x = 0$ or $y = 0$)?
5. How can you graph the point $(-2, 5)$ on a coordinate plane?

Tip: A good way to remember the quadrants is the acronym "All Students Take Calculus":

• All (1st quadrant, both positive)
• Students (2nd quadrant, negative $x$, positive $y$)
• Take (3rd quadrant, both negative)
• Calculus (4th quadrant, positive $x$, negative $y$)