X Intercept Calculator
X Intercept Calculator computes the x-intercept of the given linear equation in two variables. The x intercept for any curve is the value of the x coordinate of the point where the graph cuts the x-axis, or we can say that the x-intercept is the value of the x coordinate of a point where the value of y coordinate is equal to zero.
What is the X Intercept Calculator?
X Intercept Calculator is an online tool that helps to calculate the value of the x-intercept when we are given a linear equation in two variables. Intercepts are defined as points where the given graph crosses the axes. The point where the graph of a function intersects the x-axis is known as the x-intercept. To use the x intercept calculator, enter the values in the given input boxes.
X Intercept Calculator
How to Use the X Intercept Calculator?
Please follow the steps below to find the value of the x-intercept using the online x intercept calculator.
- Step 1: Go to Cuemath's online x intercept calculator.
- Step 2: Enter the values in the given input boxes.
- Step 3: Click on the "Calculate" button to find the value of the x-intercept.
- Step 4: Click on the "Reset" button to clear the fields and enter new values.
How Does X Intercept Calculator Work?
The general form of a straight line is given as ax + by + c = 0. This is also a linear equation in two variables. Here, a, b and c are constants. A straight line can have two intercepts, namely, the x-intercept and the y-intercept.
The x coordinate where the graph cuts the x-axis is known as the x-intercept. In other words, suppose the x coordinate of a point has its y coordinate equal to 0. Then this point will be known as the x-intercept of that line. Similarly, the y coordinate where the graph cuts the y axis is known as the y-intercept. The x coordinate of the y-intercept will be equal to 0. In order to determine the x-intercept of the given line, follow the steps given below.
- Step 1: Put y = 0 in the equation ax + by + c = 0.
- Step 2: Bring the constant term to the R.H.S (right-hand side) of the equation. Thus, ax = -c
- Step 3: Divide both sides of the equation with the coefficient of x. x = -c/a. This is the value of the x-intercept of the given line.
- Step 4: The coordinates of the x-intercept are given by (-c/a, 0).
Solved Examples on x Intercept Calculator
Example 1:
Find the x-intercept for given equation 3x + 5y + 6 = 0 and verify it using the online x intercept calculator.
Solution:
Given equation: 3x + 5y + 6 = 0
x-intercept is ( -c / a, 0)
= ( -6 / 3, 0)
= (-2, 0)
Therefore, x-intercept is (-2, 0).
Example 2:
Find the x-intercept for given equation 0.6x + 7y - 2.4 = 0 and verify it using the online x intercept calculator.
Solution:
Given equation: 0.6x + 7y - 2.4 = 0
x-intercept is ( -c / a, 0)
= ( -(-2.4) / 0.6, 0)
= (4, 0)
Therefore, x-intercept is (4, 0).
Similarly, you can use the x intercept calculator to find the value of x-intercept for the following:
- 5x - 3.7y - 4.2 = 0
- 7x - 6y + 8 = 0