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 reads:

"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...."

Translation: "If the points P(7,3), Q(-3,1), and R(2,-3) lie on the same Cartesian plane, what is the position of point Q relative to line PR?"

To solve this problem:

We need to determine the position of point QQ relative to the line formed by points PP and RR. To do this, we'll follow these steps:

  1. Find the equation of the line PR: The general form of the line equation is y=mx+cy = mx + c, where mm is the slope, and cc is the y-intercept.

    The slope ( m

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Lines and Slopes

Formulas

Slope formula: m = (y2 - y1) / (x2 - x1)
Line equation: y = mx + c

Theorems

Collinearity of points
Distance between point and line

Suitable Grade Level

Grades 10-12