Introduction to Slope Intercept Form Calculator:
Slope Intercept Form Calculator with two points is a tool that helps you find slope intercept form equation line in less than a minute. Our tool can evaluate the given problem to convert it into slope-intercept form.
The slope intercept calculator has an advanced algorithm so it can take the point that passes through a line as an input to find slope intercept form equation because of its up-to-date functionality.
What is Slope Intercept Form?
The slope-intercept form is the method for geometry to evaluate the equation of a line from the given point in the form of y=mx+b. For the intercept slope, y is the dependent, x is the independent,m is the slope of the line and b is the y-intercept value when x=0.This equation is called a slope-intercept form.
How to Calculate Slope Intercept Form?
For the calculation of the slope-intercept form equation from the given equation of a line, there are some basic rules used by the Slope intercept form calculator for the calculation of the slope of the line equation which you should know.
The slope-intercept form calculator, using the rules, helps you to evaluate the given equation easily without any difficulty. Let's see the basic principle for solving slope intercept form problems.
Method 1:
If you have two points from a line that passes through it then as per the gradient intercept calculator,
- Find the slope value with the help of its formula as
$$ m \;=\; \frac{y_2 - y_1}{x_2 - x_1} $$
- Put the coordinates of the (x,y) value in it to get the slope m.
- After that put the slope value of m in the equation y=mx+b.
- Now for the value of b, apply the y-intercept method, and put x=0.
- Lastly, put the value of b in the intercept slope equation so that you get a solution in the form of an intercept slope as,
$$ y \;=\; mx + b $$
Method 2:
If you have the equation of a straight line then as per the slope intercept form solver,
- Determine whether the equation is in the form of a straight-line equation or not. If it is not then rewrite it in the form of y=mx+b.
- Apply the y-intercept method in which, put x=0 to find the value of b.
- After this apply the x-intercept method to find the value of m, put y=0 and b value in the equation of line.
- After calculation, you get the solution of slope intercept form equation y=mx+b.
The slope-intercept formula calculator gives the slope-intercept form of a line when either the slope and y-intercept or two points pass through the line.
Practical Example of Slope Intercept Form
The slope intercept form calculator with two points can be used to solve the slope intercept form but it is important to understand its manual calculation. For that, we have given an example,
Example:
What is x+2y= 4 in slope intercept form,
Solution:
To express the given equation x+2y=4 in slope-intercept form (y=mx+b), use the y-intercept method,
First, convert the given equation in the form of y=mx+b as
$$ x + 2y \;=\; 4 $$
$$ 2y \;=\; 4 - x $$
$$ y \;=\; 2 - \frac{1}{2x} $$
For the value of b, put x=0
$$ y \;=\; 2 $$
The above equation becomes after we get m=-1/2 and y=2
Put the value of m and b value to get the solution in the form of slope intercept form equation:
$$ y \;=\; - \frac{1}{2x} + 2 $$
How to Use Slope Intercept Form Calculator?
The slope intercept calculator has a simple interface that allows you to solve the gradient intercept form of an equation instantly. You just need to put your problem in it. Follow some instructions that help you to get results of slope-intercept form. These instructions are:
- Enter the given points of both coordinates in the input box.
- Enter the given equation of a straight line in the input fields.
- Review your given input value to get the exact solution of slope intercept form value.
- Click the “Calculate” button for the evaluation of slope intercept form equation problems.
- If you want to check the calculation of our slope-intercept form calculator then you can use the load example for its solution.
- Click the “Recalculate” button of the gradient intercept calculator for the evaluation of more examples of the slope intercept form with the solution.
What Input the Slope Intercept Calculator Give?
Slope Intercept Form Calculator with two points provides you with a solution (both equation or points of a line) as per your input problem when you click on the calculate button. It may include as:
In the Result Box,
Click on the result button so that the slope-intercept forms the equation question solution you get.
Steps Box
When you click on the steps option, you get the solution of the slope of intercept questions in a step-by-step method
Advantages of Slope-Intercept Form Calculator:
The slope intercept form solver has different advantages whenever so that you use it to solve slope of intercept form equation problems to get the solution. Our tool only gets the input value and gives a solution without any trouble. These advantages are
- The slope intercept equation calculator is a trustworthy tool as it always provides you with accurate solutions of the slope-intercept form of the equation.
- The slope-intercept formula calculator is a speedy tool that evaluates slope intercept equations from the given point problems with solutions in a few seconds.
- The slope intercept form equation calculator is a learning tool that helps children about the concept of slope intercept form very easily on online platforms at home.
- It is a handy tool that solves slope of intercept equation problems quickly you do not put any type of external effort.
- The slope intercept calculator is a free tool that allows you to use it for the calculation of slope intercept form without getting any fee.
- Slope intercept form calculator with two points is an easy-to-use tool, anyone or even a beginner can easily use it for the solution of the slope of equation problems.
