 # X and Y Intercept Calculator

## How to use X and Y intercept form calculator?

This calculator is very easy to use, you just need to follow the below steps.

• Enter the values A, B, & C.
• Hit the “calculate” button.
• Press the reset button to enter new values.

Result

### Solution:

Data:

x1 = 15, x2 = 12, y1 = 12, y2 = 18

Formula:

Ax + By + C = 0 ---- (i)

Solution:

Now Put all values in equ (i)

## X and Y intercept form calculator:

X and Y intercept form calculator finds the point of intersection of a line on the cartesian coordinates using the coefficients of the equation of the line. This calculator evaluates the x-intercept and y-intercept of the given equation.  This method of the equation of the line finds the values without using the slope of the line.

## What is an intercept?

In mathematics, the intercept is a point where the line crosses the ordinate. The intercept has two types known as X and Y intercepts. The X intercept of a line indicates the point of intersection on the abscissa, whereas the y-intercept indicates the same on the y-axis.

## How can we calculate the X and Y intercepts of a line?

Try our X and Y intercept form calculator to calculate it. Or follow the following steps to calculate it manually.

• First of all, check whether the equation is linear or not.
• After checking the linearity re-arrange the equation in Ax + By + C = 0 form.
• For the x-intercept put y = 0 in the equation and calculate it using specific arithmetic operations.
• For the y-intercept, put x=0 and calculate it.

The following examples will help you to understand the procedure more clearly.

Example 1:

Calculate the X and Y intercepts of the equation 8x + 2y + 4 = 0

Solution:

The given equation is 8x + 2y+ 4 = 0

Step 1: Check the linearity:

The maximum power of the given equation is “1” so it is linear.

As the equation is already arranged so we’ll move toward the calculations.

For x-intercept:

8x + 2y+ 4 = 0

8x + 2y = - 4

Putt y = 0

8x + 2(0) = - 4

8x + 0 = 4

8x = 4

x = 4/8

x = ½ or 0.50

For y-intercept:

8x + 2y+ 4 = 0

Put x = 0,

8 (0) + 2y = 4

0 + 2y = 4

2y = 4

Y = 4/2 or 2

The intercepts are (0.50, 2)

Example 2:

Calculate the X and Y intercepts of the equation if A = 4, B = 9 and C = 1

Solution:

The given points are A = 4, B = 9 and C = 1

The general formula for the equation of a line is:

Ax + By + C = 0

Put the points in the above formula we get:

4x + 9y + 1 = 0

For x-intercept:

4x + 9y = -1

Put y = 0

4x + 9(0) = -1

4x = -1

X = -1/4

For y-intercept:

4x + 9y = -1

Put x = 0

4 (0) + 9y = -1

0 + 9y = -1

9y = -1

Y = -1/9

The intercepts are (-1/4, -1/9)

## References

1. Intercepts of Lines Review (X-intercepts and Y-intercepts)| Khan Academy.

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