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MATH / Point A lies somewhere within or on the square which has opposite corners at (0,0) and (2,2). Point B lies somewhere within or on the square which has opposite corners at points …

Problem

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problem

Point AA lies somewhere within or on the square which has opposite corners at (0,0)(0,0) and (2,2)(2,2). Point BB lies somewhere within or on the square which has opposite corners at points (4,2)(4,2) and (5,3)(5,3). What is the greatest possible value of the slope of the line containing points AA and BB? Express your answer as a common fraction.
Plain-text mathematical notation (without MathML)
Point A lies somewhere within or on the square which has opposite corners at (0,0) and (2,2). Point B lies somewhere within or on the square which has opposite corners at points (4,2) and (5,3). What is the greatest possible value of the slope of the line containing points A and B? Express your answer as a common fraction.
Original LaTeX notation
Point $A$ lies somewhere within or on the square which has opposite corners at $(0,0)$ and $(2,2)$. Point $B$ lies somewhere within or on the square which has opposite corners at points $(4,2)$ and $(5,3)$. What is the greatest possible value of the slope of the line containing points $A$ and $B$? Express your answer as a common fraction.

level

Level 5

type

Algebra

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Source and history

task_id
012d9160-f2ea-53fc-b6a4-e061af915f90
task_key
algebra--test--012d9160-f2ea-53fc-b6a4-e061af915f90
task_revision_id
1
config / split
algebra / test

Official source

initial import