Lesson: Perpendicular Distance from a Point to a Line on the Coordinate Plane Mathematics • First Year of Secondary School

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In this lesson, we will learn how to find the perpendicular distance between a point and a straight line or between two parallel lines on the coordinate plane using the formula.

Lesson Plan

Students will be able to

recall that the distance from a point to the line is given by the formula
use the formula to calculate the distance from a point to a line (the line may be given in vector form),
calculate the unknowns in a coordinate of a point given the equation of a line and its distance from the line,
use the formula to find the distance between two parallel lines,
find the possible equations for a line at a specified perpendicular distance from a point,
find the area of a given polygon on the coordinate plane using the concept of the distance between a point and a line.