# What are the x-intercept and y-intercept of the graph of y = x^{2} + x − 6?

We will use the concept of a quadratic equation to find the x-intercept and y-intercept.

## Answer: For the given graph y = x^{2} + x − 6, the y-intercept = - 6 and the x-intercept = 2,-3.

Let us see how will we use the concepts of a quadratic equation to find the x-intercept and y-intercept.

**Explanation**:

Given: y = x^{2} + x − 6

The y-intercept is the point where the curve cuts the y-axis and the coordinates of the x-axis at that point is 0.

Hence, substituting x = 0 in the given equation y = x^{2} + x − 6 we get,

y = 0 + 0 - 6

⇒ y = -6

### Hence, the value of y-intercept is y = -6

Similarly, the x-intercept is the point where the graph cuts the x-axis and the coordinates of the y-axis at that point is 0.

Hence, substituting y = 0 in the equation we get x^{2} + x − 6 = 0 we get,

x^{2} + x - 6 = 0

⇒ x^{2} + 3x - 2x - 6 = 0 [By splitting the middle term]

⇒ x (x + 3) - 2 (x + 3) = 0

⇒ (x - 2) (x + 3) = 0