Introduction to Parallel Line Calculator:
Parallel line Calculator is an online tool that helps you to compute the parallel line of the equation which is parallel on the graph from the given points. It is used to simplify the process of find slope of parallel line equation.
The parallel line equation calculator is an efficient tool that provides you with an accurate solution of your given points for parallel line equations quickly without taking any external effort from yours except the input point value in just one click.
What is a Parallel Line?
Parallel line is a line that has the same direction and same slope value but never intersects on a coordinate plane. It is used to find the equation of the parallel line that has the same slope value m but has a different y-intercept value because these lines never meet.
Parallel line equation is an important concept in understanding the angle or graphical representation in geometry or engineering or graphic designing for algorithms or in game development.
Formula of Parallel Line:
It uses the y-intercept formula to find the equation of the line by putting the value (x0,y0). It should be noted that the slope m of the line remains the same but the y-intercept value c is not the same.
$$ y \;=\; mx + c $$
How to Calculate Parallel Line?
To calculate a parallel line you need to determine the equation of a line that has the same slope as the given line but passes through to a different point. Let's see how to calculate the equation of a parallel line process.
Step 1:
Identify the slope of the given line and the point that passes through the other parallel line.
Step 2:
Identify the m value in the given line equation as it is present in the form y = mx + b, where m is the slope.
Step 3:
To determine the new point through which the Parallel line passes add m and the given point value (x,y) in the equation y = mx + c.
Step 4:
After solving the slope of the intercept equation you get the value of c.
Step 5:
To find the equation of the parallel line, use the point-slope form of the line equation. Put m and c value in it.
$$ y \;=\; mx + c $$
Step 6:
After finding the new line, compare the given line equation and see if the slope of the line is the same or not. If it is the same then you have a parallel line equation. By following these steps, you can determine the equation of any line that is parallel to a given line which passes through a specified point.
Practical Example of Parallel Line:
An example of a parallel line equation gives you complete clarity of how the parallel line calculator solves the parallel equation from the given point.
Example: write the equation of a line is parallel to the line
$$ x - y \;=\; 5\; through\; point\; (-2,1) $$
Solution:
The given points are (-2,1) and the equation of the line is x - y = 5. Rearrange the parallel line equation in its standard form y = mx + c.
$$ x - y \;=\; 5 $$
$$ -y \;=\; -x + 5 $$
$$ y \;=\; x - 5 $$
When you compare your equation with y = mx + c then you can see m = 1 and c = -5. To find the slope of the parallel line
$$ y \;=\; mx + c $$
Put the given point value which is x = -2, y = 1 and m = 1
$$ 1 \;=\; 1(-2) + c $$
$$ 1 \;=\; -2 + c $$
$$ c = 3 $$
Put the value of m and c in equation of the slope
$$ y \;=\; mx + c $$
$$ y \;=\; (1)x + 3 $$
$$ y \;=\; x + 3 $$
When you compare the above equation with the given equation
$$ y \;=\; x + 3 \;and\; y \;=\; x - 5 $$
As you can see the slope value of both the equations is the same so they are parallel line equations.
How to Use Parallel Line Equation Calculator?
Parallel lines calculator has a simple design that helps you to solve the given parallel line slope problem immediately. You need to put your given slope of the parallel line equation and points only and follow some simple steps. These steps are:
- Enter the equation of the parallel line that passes through some points in the input box.
- Add the point values of (x,y) for the parallel line equation in the input field.
- Check your given parallel line equation and the point value that flies between them to get the exact solution of the equation of the parallel line question.
- Click on the Calculate button to get the result of the given parallel line problems.
- If you want to check the working procedure of the parallel line calculator then you can use the given example with a solution.
- The “Recalculate” button for the calculation of more examples of parallel lines that pass through the point value in the solution.
Outcomes from Parallel Slope Calculator:
Parallel line equation calculator provides you with a solution as per your input problem when you click on the calculate button. It may include as:
In the Result Box:
The result button provides you with the solution to your parallel line equation question with solution.
Steps Box:
When you click on the steps option, you get the result of the slope of the slope of the parallel line equation in a step-by-step process.
Benefits of Using Parallel Line Solver:
The parallel lines calculator has many benefits when you use it to find the solution of a given slope of a line equation. Our tool only gets the input value to provide a solution without taking any external assistance. These benefits are:
- It is a trustworthy tool as it always provides you with accurate solutions to given parallel line equation problems.
- Line parallel calculator is an efficient tool that provides you with the solutions to the given slope value equation of a parallel line problem in a few seconds.
- It is a learning tool that provides you with in-depth knowledge about the concept of the parallel line equation very easily on an online platform.
- The parallel line equation calculator is a handy tool that evaluates various types of complicated parallel line equation problems quickly without manual calculation.
- It is a free tool that allows you to use it for the calculation of the slope of straight-line or parallel-line questions without paying.
- Parallel slope calculator is an easy-to-use tool, anyone, even a beginner can easily use it for the solution of the parallel line equation problems.
