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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. Check FAQs
m⊥=-x2-x1y2-y1
m⊥ - Slope of Perpendicular of a Line?x2 - X Coordinate of Second Point in Line?x1 - X Coordinate of First Point in Line?y2 - Y Coordinate of Second Point in Line?y1 - Y Coordinate of First Point in Line?

Slope of Perpendicular of Line given Two Points on Line Example

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Here is how the Slope of Perpendicular of Line given Two Points on Line equation looks like with Values.

Here is how the Slope of Perpendicular of Line given Two Points on Line equation looks like with Units.

Here is how the Slope of Perpendicular of Line given Two Points on Line equation looks like.

-0.5Edit=--20Edit-15Edit-25Edit-45Edit
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HomeIcon Home » Category Math » Category Geometry » Category 2D Geometry » fx Slope of Perpendicular of Line given Two Points on Line

Slope of Perpendicular of Line given Two Points on Line Solution

Follow our step by step solution on how to calculate Slope of Perpendicular of Line given Two Points on Line?

FIRST Step Consider the formula
m⊥=-x2-x1y2-y1
Next Step Substitute values of Variables
∴ m⊥=--20-15-25-45
Next Step Prepare to Evaluate
∴ m⊥=--20-15-25-45
LAST Step Evaluate
∴m⊥=-0.5

Slope of Perpendicular of Line given Two Points on Line Formula Elements

Variables
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 LineOpen Variable
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.
Symbol: x2
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find X Coordinate of Second Point in LineOpen Variable
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.
Symbol: x1
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find X Coordinate of First Point in LineOpen Variable
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.
Symbol: y2
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Y Coordinate of Second Point in LineOpen Variable
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.
Symbol: y1
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Y Coordinate of First Point in LineOpen Variable

Other Formulas to find Slope of Perpendicular of a Line

​Go Slope of Perpendicular of Line given Numerical Coefficients of Line
m⊥=LyLx
​Go Slope of Perpendicular of Line
m⊥=-1m
​Go Slope of Perpendicular of Line given Angle of Line with X-Axis
m⊥=-1tan(∠Inclination)

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

Slope of Perpendicular of Line given Two Points on Line evaluator 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 evaluate 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 evaluate Slope of Perpendicular of Line given Two Points on Line using this online evaluator? To use this online evaluator 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.

FAQs on Slope of Perpendicular of Line given Two Points on Line

What is the formula to find Slope of Perpendicular of Line given Two Points on Line?
The formula of Slope of Perpendicular of Line given Two Points on Line is expressed as 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). Here is an example- -0.5 = -((-20)-15)/((-25)-45).
How to calculate Slope of Perpendicular of Line given Two Points on Line?
With 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) we can find Slope of Perpendicular of Line given Two Points on Line using the formula - 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).
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=Y Coefficient of Line/X Coefficient of LineOpenImg
  • Slope of Perpendicular of a Line=-1/Slope of LineOpenImg
  • Slope of Perpendicular of a Line=-1/tan(Angle of Inclination of Line)OpenImg
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