Math Problem Statement

Jika titik P(7,3), Q(-3,1), dan R(2,-3) berada pada satu bidang Cartesius, maka kedudukan titik Q terhadap garis PR adalah?

Solution

The problem in the image is:

Question:
If points P(7,3)P(7,3), Q(3,1)Q(-3,1), and R(2,3)R(2,-3) are located on the Cartesian plane, what is the position of point QQ relative to the line PRPR?

Solution:

To determine the position of point QQ relative to the line PRPR, we can do the following:

  1. Find the equation of the line PRPR:
    First, calculate the slope mPRm_{PR} between points P(7,3)P(7,3) and R(2,3)R(2,-3).

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Linear Equations

Formulas

Slope formula: m = (y2 - y1) / (x2 - x1)
Equation of a line: y - y1 = m(x - x1)
Point-to-line distance formula

Theorems

Line Equation Theorem
Collinearity Theorem

Suitable Grade Level

Grades 10-12