Finding Points on a Line y = 3 - x at a Distance of 2 Units from (1,1)

Math Problem Statement

Find the points on the line y=3-x which are 2 units from (1,1)

We are tasked with finding the points on the line $y = 3 - x$ that are exactly 2 units away from the point $(1,1)$ .

The line is given by: $y = 3 - x$ which can also be written as the parametric equation for points on the line: [

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Analytic Geometry
Distance Formula
Linear Equations

Line equation y = mx + b
Distance formula d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Pythagorean Theorem

Grades 10-12

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