# What is intercept

Introduction :

Interceptis a point where the equation cuts either x axis or y - axis. The pointat which the equation cuts the x axis is called as x -intercept and thepoint at which the equation cuts the y axis is called as y -intercept. The equation can cut the x axis or y axis more than once. So, we can have 0 or more intercepts for a given equation. The x intercepts are of the form (x,0) because they lie on x axis and y intercepts are of the form (0,y) because they lie on y axis.

 number and type of x intercept number and type of y intercept Figure 1 1 (positive) 1( positive) Figure 2 1 (negative) 1 (negative) Figure 3 1 (negative) 1 (positive) Figure 4 1 (positive) 1 (negative) Figure 5 1 (negative) 0 Figure 6 0 1 (positive) Figure 7 1 (negative) 2 (positive and negative) Figure 8 2 (negative and positive) 1 (positive)

## How to find intercept:

Step1: We need to find x intercept and y intercept.

Step 2: Put x="0" in the given equation to get y intercept.

Step 3: Put y="0" in the given equation to get x intercept.

## Example problem:

What is intercept for the equation 5x + 9y = 45

Solution: For x intercept put y="0" in the given equation

5x + 9 (0) = 45

5x = 45

x = $\frac{45}{5}$

x = 9

x intercept is (9,0)

For y intercept put x="0" in the given equation

5(0)+9y=45

9y = 45

y = $\frac{45}{9}$

y = 5

y intercept is(0,5)

## Practice problems:

Problem 1: What is intercept(s) for the given equation 4x+6y=8

Problem 2: What is intercept(s) for the given equation x+y=0

Problem 3: What is intercept for the given equation 6y="8

Problem 4: What is intercept for the given equation 5x="9