FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

GoSlope of Perpendicular of Line given Two Points on Line Formula

GoSlope of Perpendicular of Line given Numerical Coefficients of Line Formula

Fx Copy

LaTeX Copy

Slope of Perpendicular of a Line is the slope of that particular line which is perpendicular to the Line under consideration. Check FAQs

m ⊥ = - \frac{1}{\tan (∠ Inclination)}

m_⊥ - Slope of Perpendicular of a Line?∠_Inclination - Angle of Inclination of Line?

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

With values

With units

Only example

Here is how the Slope of Perpendicular of Line given Angle of Line with X-Axis equation looks like with Values.

Here is how the Slope of Perpendicular of Line given Angle of Line with X-Axis equation looks like with Units.

Here is how the Slope of Perpendicular of Line given Angle of Line with X-Axis equation looks like.

-0.4663 = - \frac{1}{\tan (65)}

-0.4663 = - \frac{1}{\tan (65°)}

-0.4663 = - \frac{1}{\tan (65)}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Slope of Perpendicular of Line given Angle of Line with X-Axis

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

Follow our step by step solution on how to calculate Slope of Perpendicular of Line given Angle of Line with X-Axis?

FIRST Step Consider the formula

m ⊥ = - \frac{1}{\tan (∠ Inclination)}

Next Step Substitute values of Variables

∴

m ⊥ = - \frac{1}{\tan (65°)}

Next Step Convert Units

∴

m ⊥ = - \frac{1}{\tan (1.1345rad)}

Next Step Prepare to Evaluate

∴

m ⊥ = - \frac{1}{\tan (1.1345)}

Next Step Evaluate

∴

m ⊥ = -0.466307658155259

LAST Step Rounding Answer

∴

m ⊥ = -0.4663

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

Variables

Functions

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.

Symbol: m_⊥

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Slope of Perpendicular of a Line

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.

Symbol: ∠_Inclination

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Angle of Inclination of Line

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.

Syntax: tan(Angle)

Other Formulas to find Slope of Perpendicular of a Line

Go Slope of Perpendicular of Line given Two Points on Line

m ⊥ = - \frac{x 2 - x 1}{y 2 - y 1}

Go Slope of Perpendicular of Line given Numerical Coefficients of Line

m ⊥ = \frac{L y}{L x}

Go Slope of Perpendicular of Line

m ⊥ = - \frac{1}{m}

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

Slope of Perpendicular of Line given Angle of Line with X-Axis evaluator uses Slope of Perpendicular of a Line = -1/tan(Angle of Inclination of Line) to evaluate 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 evaluate Slope of Perpendicular of Line given Angle of Line with X-Axis using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Slope of Perpendicular of Line given Angle of Line with X-Axis?

The formula of Slope of Perpendicular of Line given Angle of Line with X-Axis is expressed as Slope of Perpendicular of a Line = -1/tan(Angle of Inclination of Line). Here is an example- -0.466308 = -1/tan(1.1344640137961).

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

With Angle of Inclination of Line (∠_Inclination) we can find Slope of Perpendicular of Line given Angle of Line with X-Axis using the formula - Slope of Perpendicular of a Line = -1/tan(Angle of Inclination of Line). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Slope of Perpendicular of a Line?

Here are the different ways to Calculate Slope of Perpendicular of a Line-

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit