MathDB

Analytic Geometry

Source: 2000 National High School Mathematics League, Exam One, Problem 5

March 10, 2020

calculusintegrationanalytic geometrygeometry

Problem Statement

The shortest distance from an integral point to line

y=\frac{5}{3}x+\frac{4}{5}

\text{(A)}\frac{\sqrt{34}}{170}\qquad\text{(B)}\frac{\sqrt{34}}{85}\qquad\text{(C)}\frac{1}{20}\qquad\text{(D)}\frac{1}{30}