Question

Where would we find the point (-10, 0)?

a) In the first quadrant
b) In the second quadrant
c) In the third quadrant
d) In the fourth quadrant

Answer 1

The point (-10, 0) is located in the second quadrant of a Cartesian coordinate system because it has a negative x-coordinate and a y-coordinate of 0, placing it on the x-axis, to the left of the y-axis.

Step-by-step explanation:

To determine where we would find the point (-10, 0) on a Cartesian coordinate system, we need to understand the layout of the quadrants and what the coordinates signify. The first number in the coordinate pair indicates the position on the x-axis, while the second number indicates the position on the y-axis.

In the case of the point (-10, 0), the first number is -10 and the second number is 0. The negative value tells us the point is to the left side of the coordinate system, while the value of 0 on the y-axis tells us the point is exactly on the x-axis, not moving vertically upward or vertically downward. Since it is to the left of the y-axis, this places the point in the second quadrant (QII), which occupies the negative x and positive y portions of the graph.