Slope of Perpendicular of Line given Two Points on Line Calculator

✖X Coordinate of Second Point in Line is the component along the x-axis, of the second point in a Line under consideration.ⓘ X Coordinate of Second Point in Line [x₂]			+10% -10%
✖X Coordinate of First Point in Line is the component along the x-axis, of the first point in a Line under consideration.ⓘ X Coordinate of First Point in Line [x₁]			+10% -10%
✖Y Coordinate of Second Point in Line is the component along the y-axis, of the second point in a Line under consideration.ⓘ Y Coordinate of Second Point in Line [y₂]			+10% -10%
✖Y Coordinate of First Point in Line is the component along the y-axis, of the first point in a Line under consideration.ⓘ Y Coordinate of First Point in Line [y₁]			+10% -10%

✖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 Two Points on Line [m_⊥]

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Formula

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Slope of Perpendicular of Line given Two Points on Line

Formula

`"m"_{"⊥"} = -("x"_{"2"}-"x"_{"1"})/("y"_{"2"}-"y"_{"1"})`

Example

`"-0.5"=-("-20"-"15")/("-25"-"45")`

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Slope of Perpendicular of Line given Two Points on Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
m_⊥ = -(x₂-x₁)/(y₂-y₁)
This formula uses 5 Variables

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.
X Coordinate of Second Point in Line - X Coordinate of Second Point in Line is the component along the x-axis, of the second point in a Line under consideration.
X Coordinate of First Point in Line - X Coordinate of First Point in Line is the component along the x-axis, of the first point in a Line under consideration.
Y Coordinate of Second Point in Line - Y Coordinate of Second Point in Line is the component along the y-axis, of the second point in a Line under consideration.
Y Coordinate of First Point in Line - Y Coordinate of First Point in Line is the component along the y-axis, of the first point in a Line under consideration.

STEP 1: Convert Input(s) to Base Unit

X Coordinate of Second Point in Line: -20 --> No Conversion Required
X Coordinate of First Point in Line: 15 --> No Conversion Required
Y Coordinate of Second Point in Line: -25 --> No Conversion Required
Y Coordinate of First Point in Line: 45 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m_⊥ = -(x₂-x₁)/(y₂-y₁) --> -((-20)-15)/((-25)-45)

Evaluating ... ...

m_⊥ = -0.5

STEP 3: Convert Result to Output's Unit

-0.5 --> No Conversion Required

FINAL ANSWER

-0.5 <-- Slope of Perpendicular of a Line

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Jamshedpur

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< 4 Slope of Perpendicular of Line Calculators

Slope of Perpendicular of Line given Two Points on Line

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

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

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

Slope of Perpendicular of Line

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

Slope of Perpendicular of Line given Two Points on Line Formula

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 Two Points on Line?

Slope of Perpendicular of Line given Two Points on Line calculator uses 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) to calculate the Slope of Perpendicular of a Line, Slope of Perpendicular of Line given Two Points on Line formula is defined as slope of that particular line which is perpendicular to Line under consideration, and calculated using two points on Line. Slope of Perpendicular of a Line is denoted by m_⊥ symbol.

How to calculate Slope of Perpendicular of Line given Two Points on Line using this online calculator? To use this online calculator for Slope of Perpendicular of Line given Two Points on Line, enter X Coordinate of Second Point in Line (x₂), X Coordinate of First Point in Line (x₁), Y Coordinate of Second Point in Line (y₂) & Y Coordinate of First Point in Line (y₁) and hit the calculate button. Here is how the Slope of Perpendicular of Line given Two Points on Line calculation can be explained with given input values -> -0.5 = -((-20)-15)/((-25)-45).

FAQ

What is Slope of Perpendicular of Line given Two Points on Line?

Slope of Perpendicular of Line given Two Points on Line formula is defined as slope of that particular line which is perpendicular to Line under consideration, and calculated using two points on Line and is represented as m_⊥ = -(x₂-x₁)/(y₂-y₁) or 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). X Coordinate of Second Point in Line is the component along the x-axis, of the second point in a Line under consideration, X Coordinate of First Point in Line is the component along the x-axis, of the first point in a Line under consideration, Y Coordinate of Second Point in Line is the component along the y-axis, of the second point in a Line under consideration & Y Coordinate of First Point in Line is the component along the y-axis, of the first point in a Line under consideration.

How to calculate Slope of Perpendicular of Line given Two Points on Line?

Slope of Perpendicular of Line given Two Points on Line formula is defined as slope of that particular line which is perpendicular to Line under consideration, and calculated using two points on Line is calculated using 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). To calculate Slope of Perpendicular of Line given Two Points on Line, you need X Coordinate of Second Point in Line (x₂), X Coordinate of First Point in Line (x₁), Y Coordinate of Second Point in Line (y₂) & Y Coordinate of First Point in Line (y₁). With our tool, you need to enter the respective value for 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 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 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. We can use 3 other way(s) to calculate the same, which is/are as follows -

Slope of Perpendicular of a Line = Y Coefficient of Line/X Coefficient of Line
Slope of Perpendicular of a Line = -1/Slope of Line
Slope of Perpendicular of a Line = -1/tan(Angle of Inclination of Line)

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