Math Problem Statement
Find the points on the line y=3-x which are 2 units from (1,1)
Solution
We are tasked with finding the points on the line that are exactly 2 units away from the point .
Step-by-step Solution:
1. Equation of the line:
The line is given by: which can also be written as the parametric equation for points on the line: [
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Math Problem Analysis
Mathematical Concepts
Analytic Geometry
Distance Formula
Linear Equations
Formulas
Line equation y = mx + b
Distance formula d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 10-12