Coordinate Plane Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
In which quadrant is the point (−3,5)(-3, 5) located?

Solution

  1. 1
    The xx-coordinate is −3-3 (negative, so left of the origin).
  2. 2
    The yy-coordinate is 55 (positive, so above the origin).
  3. 3
    Negative xx and positive yy place the point in Quadrant II.

Answer

Quadrant II
The coordinate plane has four quadrants. The signs of the coordinates determine the quadrant: (+,+) is QI, (−,+) is QII, (−,−) is QIII, and (+,−) is QIV.

About Coordinate Plane

A two-dimensional surface formed by two perpendicular number lines — the horizontal xx-axis and the vertical yy-axis — intersecting at the origin (0,0)(0, 0). Every point on the plane is uniquely identified by an ordered pair (x,y)(x, y) giving its horizontal and vertical distances from the origin.

Learn more about Coordinate Plane →

More Coordinate Plane Examples

Example 2 medium

Find the distance between points [formula] and [formula].

Example 3 easy

Plot the point [formula]. Is it above or below the [formula]-axis?

Example 4 medium

Find the midpoint of the segment connecting [formula] and [formula].

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