Technical Calculator

Slope Percentage Calculator

Enter rise and run in the calculator and it will calculate the slope percentage.

Find the percentage slope or the effect of the vertical and horizontal change with the pipe slope percentage calculator. It is necessary to find a correlation between two variables in the market and the slope rise over run calculator to identify the change impact.

Working of Slope Percentage Calculator:

Find out the slope percentage and slope angle precisely without much manual intervention by using our calculator.  Let's see how it works!

Input:

  • Enter the rise and run
  • Tap calculate

Output:

  • The slope angle
  • The slope percentage
  • Step-by-step calculations 

What is Rise Over Run?

The slope percentage is the fractional expression of the rise over the run measurements of the straight-line driving on the graph. The straight line is the result of the point of intersection between two variables like price and demand.  The slope percentage calculator finds the vertical and horizontal change of two variables. The rise (expressed Δy) is the vertical change and the run (expressed Δx) is the horizontal change between dependent and independent variables.

Slope Percentage or (Rise/Run) Formula:

The slope percentage or the formula is given by:

Slope percentage = Rise/Run 

Slope percentage = Δy/Δx

Slope percentage = (y2-y1)/(x2-x1)

The rise/run slope is critical to know the effect of change during analysis.

The rise over run slope calculator is created to detect the Δy/Δx or effect of a variable in a practical situation. The change is essential to know the dependence of indent and independent variables.

Practical Example:

Let's suppose the points of interaction are (3, 2) and (7, 5) and the line passes through these points. Then what is the slope gradient of the line and vertical and horizontal change?

Solution:

The vertical change or the rise is:

Δy = 5 – 2 = 3

Then find the run or the horizontal change:

Δx = 7 – 3 = 4

Use the slope gradient formula:

Slope gradient = ¾

Decimal value of change = 0.75

Percentage = 75%

Degree θ = (tan)^-1(rise/run)

Degree θ = (tan)^-1(3/4)

Degree θ = (tan)^-1(3/4)

Degree θ = 36.87°

Other Angle Units:

radian gradian π radian
0.64 40.96 0.2

You can find the slope gradient, decimal value of change, slope angle, and percentage simultaneously by the slope gradient calculator with precise accuracy. This is quite beneficial when making critical decisions in financial issues like changes in demand and price.

How Do you Find Rise and Run on a Graph?

Follow the steps below:

  • calculate the rise and run of a line on a graph by identifying points of intersection along the x-axis and y-axis in the graph. 
  •  Then find the difference between the y_2 and y_1 for vertical change and the x_2 and x_1 difference for horizontal change.

The slope percentage calculator calculates the horizontal and vertical change at once by the percent slope calculator and the point of intersection of lines along the x-axis and y-axis.

FAQs:

How is Rise Over Run Used in Real Life?

Some real-world rise over run or the slope gradient:

  • Calculating roof pitch
  • Grade for road work 
  • Wheelchair ramps 
  • Stairs & Steps
  • Improving vehicle aerodynamics

The slope calculator rise over run estimation looks simple but it has real-time applications.

How Do you Convert Rise and Run to an Angle?

You can find the angle of a line using the inverse tangent of the rise over the run. The rise over run slope calculator makes the task simple and finds the angle of change along with the percentage change.  

References:

From the source of Wikipedia: Slope or gradient From the source of archtoolbox.com: Percentage slope