Slope of Line Calculator

✖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%
✖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%

✖Slope of Line is the ratio of differences of y coordinates to x coordinates of any two points on the Line in a specific order.ⓘ Slope of Line [m]

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Formula

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Slope of Line

Formula

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

Example

`"2"=("-25"-"45")/("-20"-"15")`

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Slope of Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slope of Line = (Y Coordinate of Second Point in Line-Y Coordinate of First Point in Line)/(X Coordinate of Second Point in Line-X Coordinate of First Point in Line)
m = (y₂-y₁)/(x₂-x₁)
This formula uses 5 Variables

Variables Used

Slope of Line - Slope of Line is the ratio of differences of y coordinates to x coordinates of any two points on the Line in a specific order.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

m = 2

STEP 3: Convert Result to Output's Unit

2 --> No Conversion Required

FINAL ANSWER

2 <-- Slope of Line

(Calculation completed in 00.004 seconds)

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Created by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has created this Calculator and 50+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

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< 4 Slope of Line Calculators

Slope of Line

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

Slope of Line given Numerical Coefficients

Go Slope of Line = -X Coefficient of Line/Y Coefficient of Line

Slope of Line given Angle with X-Axis

Go Slope of Line = tan(Angle of Inclination of Line)

Slope of Line given Slope of Perpendicular

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

Slope of Line Formula

Slope of Line = (Y Coordinate of Second Point in Line-Y Coordinate of First Point in Line)/(X Coordinate of Second Point in Line-X Coordinate of First Point in Line)
m = (y₂-y₁)/(x₂-x₁)

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 Line?

Slope of Line calculator uses Slope of Line = (Y Coordinate of Second Point in Line-Y Coordinate of First Point in Line)/(X Coordinate of Second Point in Line-X Coordinate of First Point in Line) to calculate the Slope of Line, Slope of Line formula is defined as the ratio of differences of y coordinates to x coordinates of any two points on the Line in a specific order. Slope of Line is denoted by m symbol.

How to calculate Slope of Line using this online calculator? To use this online calculator for Slope of Line, enter Y Coordinate of Second Point in Line (y₂), Y Coordinate of First Point in Line (y₁), X Coordinate of Second Point in Line (x₂) & X Coordinate of First Point in Line (x₁) and hit the calculate button. Here is how the Slope of Line calculation can be explained with given input values -> 2 = ((-25)-45)/((-20)-15).

FAQ

What is Slope of Line?

Slope of Line formula is defined as the ratio of differences of y coordinates to x coordinates of any two points on the Line in a specific order and is represented as m = (y₂-y₁)/(x₂-x₁) or Slope of Line = (Y Coordinate of Second Point in Line-Y Coordinate of First Point in Line)/(X Coordinate of Second Point in Line-X Coordinate of First 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 is the component along the y-axis, of the first point in a Line under consideration, 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.

How to calculate Slope of Line?

Slope of Line formula is defined as the ratio of differences of y coordinates to x coordinates of any two points on the Line in a specific order is calculated using Slope of Line = (Y Coordinate of Second Point in Line-Y Coordinate of First Point in Line)/(X Coordinate of Second Point in Line-X Coordinate of First Point in Line). To calculate Slope of Line, you need Y Coordinate of Second Point in Line (y₂), Y Coordinate of First Point in Line (y₁), X Coordinate of Second Point in Line (x₂) & X Coordinate of First Point in Line (x₁). With our tool, you need to enter the respective value for Y Coordinate of Second Point in Line, Y Coordinate of First Point in Line, X Coordinate of Second Point in Line & X 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 Line?

In this formula, Slope of Line uses Y Coordinate of Second Point in Line, Y Coordinate of First Point in Line, X Coordinate of Second Point in Line & X Coordinate of First Point in Line. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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