Slope of Perpendicular of Line given Angle of Line with X-Axis Calculator

✖Angle of Inclination of Line is the angle made by the line with the positive part of the x-axis in the anti-clock wise direction.ⓘ Angle of Inclination of Line [∠_Inclination]

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✖Slope of Perpendicular of a Line is the slope of that particular line which is perpendicular to the Line under consideration.ⓘ Slope of Perpendicular of Line given Angle of Line with X-Axis [m_⊥]

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Slope of Perpendicular of Line given Angle of Line with X-Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slope of Perpendicular of a Line = -1/tan(Angle of Inclination of Line)
m_⊥ = -1/tan(∠_Inclination)
This formula uses 1 Functions, 2 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Slope of Perpendicular of a Line - Slope of Perpendicular of a Line is the slope of that particular line which is perpendicular to the Line under consideration.
Angle of Inclination of Line - (Measured in Radian) - Angle of Inclination of Line is the angle made by the line with the positive part of the x-axis in the anti-clock wise direction.

STEP 1: Convert Input(s) to Base Unit

Angle of Inclination of Line: 65 Degree --> 1.1344640137961 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m_⊥ = -1/tan(∠_Inclination) --> -1/tan(1.1344640137961)

Evaluating ... ...

m_⊥ = -0.466307658155259

STEP 3: Convert Result to Output's Unit

-0.466307658155259 --> No Conversion Required

FINAL ANSWER

-0.466307658155259 ≈ -0.466308 <-- Slope of Perpendicular of a Line

(Calculation completed in 00.004 seconds)

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< Slope of Perpendicular of Line Calculators

Slope of Perpendicular of Line given Two Points on Line

LaTeX Go Slope of Perpendicular of a Line = -(X Coordinate of Second Point in Line-X Coordinate of First Point in Line)/(Y Coordinate of Second Point in Line-Y Coordinate of First Point in Line)

Slope of Perpendicular of Line given Numerical Coefficients of Line

LaTeX Go Slope of Perpendicular of a Line = Y Coefficient of Line/X Coefficient of Line

Slope of Perpendicular of Line given Angle of Line with X-Axis

LaTeX Go Slope of Perpendicular of a Line = -1/tan(Angle of Inclination of Line)

Slope of Perpendicular of Line

LaTeX Go Slope of Perpendicular of a Line = -1/Slope of Line

Slope of Perpendicular of Line given Angle of Line with X-Axis Formula

LaTeX Go

Slope of Perpendicular of a Line = -1/tan(Angle of Inclination of Line)
m_⊥ = -1/tan(∠_Inclination)

What is a Line?

A Line in two dimensional plane is the infinite extension of the line segment joining two arbitrary points, in both directions. In a Line for any two arbitrary points, the ratio of difference of y coordinates to the difference of x coordinates in a specific order is a constant value. That value is called the slope of that Line. Every Line has a slope, which can be any real number - positive or negative or zero.

How to Calculate Slope of Perpendicular of Line given Angle of Line with X-Axis?

Slope of Perpendicular of Line given Angle of Line with X-Axis calculator uses Slope of Perpendicular of a Line = -1/tan(Angle of Inclination of Line) to calculate the Slope of Perpendicular of a Line, Slope of Perpendicular of Line given Angle of Line with X-Axis is the slope of that particular line which is perpendicular to the Line under consideration, and calculated using the angle of Line with x-axis. Slope of Perpendicular of a Line is denoted by m_⊥ symbol.

How to calculate Slope of Perpendicular of Line given Angle of Line with X-Axis using this online calculator? To use this online calculator for Slope of Perpendicular of Line given Angle of Line with X-Axis, enter Angle of Inclination of Line (∠_Inclination) and hit the calculate button. Here is how the Slope of Perpendicular of Line given Angle of Line with X-Axis calculation can be explained with given input values -> -0.466308 = -1/tan(1.1344640137961).

FAQ

What is Slope of Perpendicular of Line given Angle of Line with X-Axis?

Slope of Perpendicular of Line given Angle of Line with X-Axis is the slope of that particular line which is perpendicular to the Line under consideration, and calculated using the angle of Line with x-axis and is represented as m_⊥ = -1/tan(∠_Inclination) or Slope of Perpendicular of a Line = -1/tan(Angle of Inclination of Line). Angle of Inclination of Line is the angle made by the line with the positive part of the x-axis in the anti-clock wise direction.

How to calculate Slope of Perpendicular of Line given Angle of Line with X-Axis?

Slope of Perpendicular of Line given Angle of Line with X-Axis is the slope of that particular line which is perpendicular to the Line under consideration, and calculated using the angle of Line with x-axis is calculated using Slope of Perpendicular of a Line = -1/tan(Angle of Inclination of Line). To calculate Slope of Perpendicular of Line given Angle of Line with X-Axis, you need Angle of Inclination of Line (∠_Inclination). With our tool, you need to enter the respective value for Angle of Inclination of Line and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Slope of Perpendicular of a Line?

In this formula, Slope of Perpendicular of a Line uses Angle of Inclination of Line. We can use 3 other way(s) to calculate the same, which is/are as follows -

Slope of Perpendicular of a Line = -(X Coordinate of Second Point in Line-X Coordinate of First Point in Line)/(Y Coordinate of Second Point in Line-Y Coordinate of First Point in Line)
Slope of Perpendicular of a Line = Y Coefficient of Line/X Coefficient of Line
Slope of Perpendicular of a Line = -1/Slope of Line

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