# How to find a line that is perpendicular to another

One of the most important skills that students need to learn is How to find a line that is perpendicular to another.

## How to Find the Equation of a Perpendicular Line: 11 Steps

All lines perpendicular to a x + b y + c = 0 have the form b x − a y + c ′ = 0 so you need to find c such that − 3 x − 2 y + c = 0 for ( x, y) = ( 1 4, − 3 5) i.e. − 3 4 + 6 5 + c = 0 Finally

## How do I find a line perpendicular to another line?

In this video I show you how to determine the equation of a line that is perpendicular to another line, and passes through a specific point.

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## Algebra 1 : How to find the equation of a perpendicular line

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2 x + b and solving for b, we get b = 6.

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