Math Problem Statement
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 relative to the line formed by points and . To do this, we'll follow these steps:
-
Find the equation of the line PR: The general form of the line equation is , where is the slope, and 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
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