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 interceptnumber and type of y intercept
Figure 11 (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
01 (positive)
Figure 7
1 (negative)2 (positive and negative)
Figure 8
2 (negative and positive)1 (positive)


whatisintercept

whatisintercept(a)


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

Answers:

1) (2, 0) and (0, 4/3)

2) 0 and 0

3) 0 and (0, 4/3)

4) (9/5, 0) and 0


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