# Finding Equation of a Perpendicular Line Through a Point

Taught by mrbrianmclogan
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Meets NCTM Standards:
Errors in this video:

At about the 3:37 mark, the teacher says 3 times 9 is 24; he should have said 3 times 9 is 27. Thus, the final answer should be y=(3/5)x+12/5.

Lesson Summary:

In this lesson, the instructor demonstrates how to find the equation of a line that is perpendicular and passes through a given point. To do this, the instructor explains that the slope of the new line will be the opposite reciprocal of the slope of the original line. Additionally, the point that the new line passes through must be accounted for in the equation. Using point-slope form, the instructor provides step-by-step instructions for finding the equation, and the transcript shows the process for a sample problem.

Lesson Description:

Find the equation of a line that is perpendicular and goes through a point

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Questions answered by this video:
• How do I find the equation of a line that is perpendicular to a given line and passes through a given point?
• What is the equation of the line that passes through (-9,-3) and is perpendicular to y=-(5/3)x-8?
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In this lesson, the teacher shows how to find the equation of a line that passes through a given point and is perpendicular to a given line.