Slope of Line given Numerical Coefficients Solution

STEP 0: Pre-Calculation Summary
Formula Used
Slope of Line = -X Coefficient of Line/Y Coefficient of Line
m = -Lx/Ly
This formula uses 3 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.
X Coefficient of Line - X Coefficient of Line is the numerical coefficient of x in the standard equation of a Line ax+by+c=0 in two dimensional plane.
Y Coefficient of Line - Y Coefficient of Line is the numerical coefficient of y in the standard equation of a Line ax+by+c=0 in two dimensional plane.
STEP 1: Convert Input(s) to Base Unit
X Coefficient of Line: 6 --> No Conversion Required
Y Coefficient of Line: -3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
m = -Lx/Ly --> -6/(-3)
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)

Credits

Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
Anirudh Singh has created this Calculator and 300+ more calculators!
Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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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 given Numerical Coefficients Formula

Slope of Line = -X Coefficient of Line/Y Coefficient of Line
m = -Lx/Ly

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 given Numerical Coefficients?

Slope of Line given Numerical Coefficients calculator uses Slope of Line = -X Coefficient of Line/Y Coefficient of Line to calculate the Slope of Line, Slope of Line given Numerical Coefficients 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 calculated using the numerical coefficients of x and y in the standard equation of the Line. Slope of Line is denoted by m symbol.

How to calculate Slope of Line given Numerical Coefficients using this online calculator? To use this online calculator for Slope of Line given Numerical Coefficients, enter X Coefficient of Line (Lx) & Y Coefficient of Line (Ly) and hit the calculate button. Here is how the Slope of Line given Numerical Coefficients calculation can be explained with given input values -> 2 = -6/(-3).

FAQ

What is Slope of Line given Numerical Coefficients?
Slope of Line given Numerical Coefficients 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 calculated using the numerical coefficients of x and y in the standard equation of the Line and is represented as m = -Lx/Ly or Slope of Line = -X Coefficient of Line/Y Coefficient of Line. X Coefficient of Line is the numerical coefficient of x in the standard equation of a Line ax+by+c=0 in two dimensional plane & Y Coefficient of Line is the numerical coefficient of y in the standard equation of a Line ax+by+c=0 in two dimensional plane.
How to calculate Slope of Line given Numerical Coefficients?
Slope of Line given Numerical Coefficients 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 calculated using the numerical coefficients of x and y in the standard equation of the Line is calculated using Slope of Line = -X Coefficient of Line/Y Coefficient of Line. To calculate Slope of Line given Numerical Coefficients, you need X Coefficient of Line (Lx) & Y Coefficient of Line (Ly). With our tool, you need to enter the respective value for X Coefficient of Line & Y Coefficient 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 Line?
In this formula, Slope of Line uses X Coefficient of Line & Y Coefficient of Line. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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 = -1/Slope of Perpendicular of a Line
  • Slope of Line = tan(Angle of Inclination of Line)
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