# How to find the x-intercept of a quadratic function?

The x-intercept of a line is that point where it cuts the x-axis of the graph, and the y-intercept of a line is that point where it cuts the y-axis of the graph.

## Answer: To find the x-intercept of a line, we substitute y = 0 in the equation and find the corresponding value of x.

Let us proceed step by step.

**Explanation:**

There are few steps to determine the x-intercept of a quadratic function.

Step 1: Put the value of y as 0.

Step 2: Solve the equation and get the two roots x_{1} and x_{2}.

Step 3: write x-intercept as (x_{1} , 0) and (x_{2} , 0)

Let's understand the problem with the help of an example.

Let's find the x-intercepts of y = x^{2} - 5x + 6

To find the x-intercept, put y = 0.

Hence, x^{2} - 5x + 6 = 0

x^{2} - 5x + 6 = (x - 3) (x - 2) = 0

Therefore, x_{1} = 3 and x_{2} = 2.

The x-intercepts of y = x^{2} - 5x + 6 is (2, 0) and (3, 0).