# y-Intercept Calculator

The y-intercept is defined as the point where the line crosses the y-axis. The general form of the y-intercept of the equation of the line is (0, -c / b)

## What is the y-Intercept Calculator?

'Cuemath's y-Intercept Calculator' is an online tool that helps to calculate the value of the y-intercept. Cuemath's online y-Intercept Calculator helps you to calculate the value of the y-intercept in a few seconds.

## How to Use y-Intercept Calculator?

Please follow the below steps to find the value of the y-intercept:

**Step 1:**Enter the coefficients in the given input boxes.**Step 2:**Click on the**"Calculate"**button to find the value of the y-intercept.**Step 3:**Click on the**"Reset"**button to clear the fields and enter the different values.

## How to Find y-Intercept Calculator?

The y-intercept of a graph is (are) the point(s) where the graph intersects the y-axis. So the x-coordinate of any point on the y-axis is 0.

The equation of straight line in general form ax + by + c = 0

For y-intercept, x = 0, a(0) + by + c = 0

⇒ 0 + by + c = 0

⇒ by = -c

⇒ y = -c / b

Thus, the y-intercept of the equation of a line in general form is:

**y-intercept is (0, -c / b)**

**Solved Example:**

Find the y-intercept for given equation 3x + 5 + 6 = 0?

**Solution:**

Given equation: 3x + 5y + 6 = 0

y-intercept is (0, -c / b)

= (0, -6 / 5) = (0, - 1.2)

or substitute x = 0, 3(0) + 5y + 6 = 0

⇒ 0 + 5y + 6 = 0

⇒ 5y = -6

⇒ y = -6 / 5

Therefore, y-intercept is (0, -6 / 5)

Similarly, you can use the calculator to find the value of y-intercept for the following:

- 5x - 4y - 4 = 0
- 7x + 6y - 8 = 0