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 question in the image asks:


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


Solution:

To find the position of point Q relative to the line PR, we need to check if point Q lies on the line PR or if it lies above/below the line.

  1. Find the equation of the line PR:

    The slope of line PR is calculated as: [ m = \frac{y_R - y_P}{x_R - x_P} = \frac{-3 - 3}{2 -

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Line Equation
Slopes

Formulas

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

Theorems

Collinearity of points

Suitable Grade Level

Grades 8-10