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Perpendicular Line Calculator

Math

Find the equation of a line perpendicular to a given line, and where the two lines intersect.

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Perpendicular line equation

y = -0.5x + 5

The equation of the line perpendicular to line 1, through the given point

Intersection x

1.6000

The x-coordinate where the two lines meet

Intersection y

4.2000

The y-coordinate where the two lines meet

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Odeh Ahwal

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Odeh Ahwal
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Frequently Asked Questions

What makes two lines perpendicular?

Two lines are perpendicular when the product of their slopes equals negative 1, meaning they cross at a perfect right angle.

What is the perpendicular line to y = 2x + 1 through the point (4, 3)?

The perpendicular line has a slope of negative 0.5 and the equation y = -0.5x + 5.

Where does the perpendicular line cross the original line?

For a slope of 2 through (4, 3), the perpendicular line crosses the original line at the point (1.6, 4.2).

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