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NRICH: Closer to Home

Which of these lines comes closer to the origin?

Consider the graphs with equations y=2x−10 and y=x−6.

Which comes closer to the origin?

Can you find the shortest distance between this line and the origin?

This problem is taken from the World Mathematics Championships

You can find more short problems, arranged by curriculum topic, in our short problems collection.

Age 14 to 16

NRICH (University of Cambridge)
Math Topics
Algebra & Pre-Algebra, Functions & Graphs, Linear Equations
High School, Educator
9th Grade, 10th Grade, 11th Grade
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NRICH: Closer to Home

Which of these lines comes closer to the origin?

Consider the graphs with equations y=2x−10 and y=x−6.

Which comes closer to the origin?

Can you find the shortest distance between this line and the origin?

This problem is taken from the World Mathematics Championships

You can find more short problems, arranged by curriculum topic, in our short problems collection.

Age 14 to 16

NRICH (University of Cambridge)
Math Topics
Algebra & Pre-Algebra, Functions & Graphs, Linear Equations
High School, Educator
9th Grade, 10th Grade, 11th Grade

What are you looking for?

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NRICH (University of Cambridge)

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Challenge

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