The Distance from a Point to a Line

New York State Common Core Math Geometry, Module 4, Lesson 15

Worksheets for Geometry

Student Outcomes

• Students are able to derive a distance formula and apply it.

The Distance from a Point to a Line

Classwork

Exercise 1

A robot is moving along the line 20𝑥 + 30𝑦 = 600. A homing beacon sits at the point (35, 40).
a. Where on this line will the robot hear the loudest ping?
b. At this point, how far will the robot be from the beacon?

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Exercise 2

For the following problems, use the formula to calculate the distance between the point 𝑃 and the line �
a. 𝑃(0,0) and the line 𝑦 = 10
b. 𝑃(0,0) and the line 𝑦 = 𝑥 +10
c. 𝑃(0,0) and the line 𝑦 = 𝑥 −6

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