Math Problem Statement

P(-3,-4)

Solution

The point P(3,4)P(-3, -4) represents a position on a Cartesian coordinate plane, where:

  • x=3x = -3: This is the horizontal position (3 units to the left of the origin).
  • y=4y = -4: This is the vertical position (4 units down from the origin).

In the coordinate plane:

  • The point lies in Quadrant III because both the xx- and yy-coordinates are negative.

Would you like further details on distance formulas, midpoint, or transformations related to this point?

Here are five related questions:

  1. What is the distance from point P(3,4)P(-3, -4) to the origin?
  2. How do you calculate the distance between two points?
  3. What is the equation of a line passing through P(3,4)P(-3, -4) and the origin?
  4. How would the coordinates of PP change if it were reflected over the xx-axis?
  5. What is the midpoint between P(3,4)P(-3, -4) and another point Q(2,3)Q(2, 3)?

Tip: A point in Cartesian coordinates can help determine distances, slopes, and areas, among other geometric properties.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Cartesian Plane
Quadrants

Formulas

Distance formula: d = √((x2 - x1)² + (y2 - y1)²)
Midpoint formula: M = ((x1 + x2) / 2, (y1 + y2) / 2)

Theorems

Concept of Quadrants in the Cartesian Coordinate System

Suitable Grade Level

Grades 6-8