Y Intercept Calculator

Ever wondered where your function crosses the y-axis? Our y intercept calculator has the answer for such questions. Try it now!

Please wait... loading-icon

Table of Contents:

Introduction to Y Intercept Calculator:

Y intercept calculator is an online mathematical tool that helps you find the point a line meets on the y-axis in a cartesian plane. It helps you to evaluate the equation of slope with the help of the y-intercept method without any difficulty.

Y Intercept Calculator

This calculator is a learning tool for everyone, especially for those who want to learn this crucial geometry concept but due to its complexity not able to learn it. That is why we introduce this y y-intercept calculator that provides you solution of a given equation in a few seconds.

What is the Y-Intercept?

The y-intercept is a point where the line intersects with the y-axis on a graph in geometry. When it meets the x coordinates becomes zero and we get the value of y only. It is represented as (0, b), where 'b' is the value of the y-coordinate where the line intersects the y-axis.

The y-intercept is found with the help of slope-intercept form equation y=mx+b, and the y-intercept is represented by the constant value b.

How to Find the Y-Intercept?

The y intercept calculator from points uses the simple process of y-intercept to find the points that pass through the line during an intersection when you have an equation in slope-intercept form (y=mx+b). To know how to calculate y intercept let’s understand some steps,

Step 1:

Determine the given equation according to the standard form of the slope-intercept form as y = mx+b. If the given equation is not in that form then first rewrite the equation.

Step 2:

In the y intercept formula method the given equation, y=mx+b, 'b' represents the y. When you put x=0 then

$$ y \;=\; mx + b $$

$$ y \;=\; m(0) + b $$

$$ y \;=\; b $$

Step 3:

To find the point where the graph of the equation intersects the y-axis, you must put x= 0.

Step 4:

After putting x = 0 into the equation, solve the equation for 'y' to find the required points.

Step 5:

After finding the value using the y-intercept from the given equation, you get the points that pass through a line during the intersection on the y-axis.

The algorithms of the y intercept finder use the above steps to solve the y-intercept form problems easily.

Solved Example of Y Intercept:

Let’s understand how the y intercept calculator solves the y-intercept problems that will clear all your ambiguity related to y intercept formula method in geometry.

Example:

Find the point that passes through the line

$$ y \;=\; -\frac{1}{5}x + 3 $$

Solution:

Use y intercept method to find the points, for this put x=0

$$ y \;=\; -\frac{1}{5}x + 3 $$

$$ y \;=\; -\frac{1}{5}(0) + 3 $$

$$ y \;=\; 3 $$

$$ y\; - \; intercept: (0,3) $$

How to Use Y Intercept Calculator?

The y-intercept formula calculator has a user-friendly layout that allows you to point from the slope of an equation instantly.

You just need to put your problem in this y-intercept calculator and follow some simple steps that take you away from any inconvenience during calculation. These steps are:

  • Enter the value of m (slope of a line) in the input field.
  • Enter the value of c (that shows the steepness of a line) in the input field.
  • Review your given input value before clicking the calculate button to get the exact solution of getting the point of a line.
  • Click the “Calculate” button for the solution slope equation of line problems.
  • If you want to check the calculation of our y int calculator then use the load example for the calculation to get an idea about its procedure.
  • Click the “Recalculate” button for the evaluation of more examples of the y intercept question solution.

Outcome of Y-Intercept Calculator:

The y intercept finder provides you the solution for finding the points of a line on a graph as per your input values when you click on the calculate button. It may include as:

In the Result Box,

When you click on the result button of y intercept form calculator you get the solution in the form of points where the line intersects on a graph.

Steps Box
Click on the steps option of y intercept solver so that you get the solution to y intercept equation questions in a step-by-step method.

Benefits of Using the Y Intercept Finder:

The y intercept formula calculator has millions of benefits whenever you use it to solve intercept problems for finding the line points as a solution. You just need to add the input value and get a solution without imposing a condition of a sign-up option.

  • The y-intercept formula calculator is a trustworthy tool that always provides you with accurate solutions to y-intercept questions.
  • It is a swift tool that evaluates y-intercept problems with solutions in a run of time.
  • The y int calculator is a learning tool that helps children about the concept of geometry very easily on online platforms without any trouble in a fun way.
  • It is a handy tool that can solve different slopes of equations to find the points of a line quickly without putting in external effort.
  • The y intercept form calculator is a free tool that allows you to use it for the calculation of y-intercept problems.
  • The y intercept calculator from points is an easy-to-use tool, anyone or even a beginner can easily use it for the solution of y-intercept problems.
  • The y intercept solver can operate through all devices desktop, mobile, or laptop through the internet to solve y intercept equations problems.
Related References
Frequently Ask Questions

What is the y-intercept of the line 2x + 3y = -9?

To find the points of a line on a graph represented by the following equation 2x + 3y = −9 we use the y-intercept method. For y intercept, put x = 0 in the given equation to find a point that passes through the line.

$$ 2(0) + 3y \;=\; −9 $$

$$ 3y \;=\; −9 $$

Divide 3 on both sides of the equation to get the value of y,

$$ y \;=\; −3 $$

So, the points that pass through the given slope of the equation on a graph are (0,−3).

How to find the y-intercept from two points?

To find the y-intercept from two points on a graph, you have the coordinates values of those points. As you have a point (x2, y1), use it to find the slope of the line that meets these two points. For this use the y-intercept method for a linear equation y = mx + b.

With the help of the slope formula find the value of m:

$$ m \;=\; \frac{y_2 − y_1}{x_2 − x_1} $$

Put x = 0 to calculate the slope using the y-intercept method:

$$ y \;=\; mx + b $$

After putting the m and b values in the slope equation you get the result from the y-intercept method.

How to find the y-intercept of two coordinates?

For the finding of the y-intercept from two coordinates from the given equation you must have coordinate values as x1, x2 and y1, y2.

Steps to Find the Y-Intercept from Two Coordinates:

Step 1: Determine the Slope (m) with the help of the formula and put the coordinate values.

$$ m \;=\; \frac{y_2 - y_1}{x_2 - x_1} $$

Step 2:

Now you get the slope m value and put it in the given equation: y = mx + b.

Step 3:

Then apply the y-intercept method to get the points that pass through a line by putting x = 0 to get the value of b for the given equation.

Find the Y-intercept of y =2x - 3?

To find the y-intercept for the given equation y = 2x − 3, put x = 0 and get the value of y.

$$ y \;=\; 2(0) − 3 $$

$$ y \;=\; −3 $$

So, the points that get from the given equation are y = −3, x = 0 with the help of the y-intercept method.

What does the y-intercept mean in real life?

The y-intercept of a graph represents the value that dependent on variable (y) when the independent variable (x) is zero. It is the point in the graph when a line intersects on the y-axis.

The straight line equation is y = mx + b, where m is the slope and b is the y-intercept method. As it builds a relationship between time and objects in real life.

  • If the equation represents the cost of a product over time, the y-intercept would indicate the initial cost of the product when time (x) is zero.
  • In a distance-time graph, the y-intercept expresses the initial position when time is zero.
  • For a temperature-time graph, it shows the starting temperature at time zero.

Is This Tool Helpful