FIND X AND Y INTERCEPTS OF A LINE

To find x and y-intercept of a line, we have two ways.

Method 1 :

(i) To find x-intercept, apply y = 0. Then write the coordinate as (x, 0).

(ii) To find y-intercept, apply x = 0. Then write the coordinate as (0, y).

Method 2 :

Convert the equation from standard form to intercept form.

(x/a) + (y/b) = 1

a = x-intercept and b = y-intercept

Here we see examples using the first method.

To get examples using second method, please click here

Find x and y intercepts from a equation of line

Find x and y intercepts of the lines given below.

Problem 1 :

x + 2y = 8

Solution:

x-intercept :

y = 0

x + 2y = 8

x + 0 = 8

x = 8

y-intercept :

x = 0

0 + 2y = 8

2y = 8

y = 4

So, x-intercept is 8 and y-intercept is 4.

Problem 2 :

3x - y = 6

Solution :

x-intercept :

y = 0

3x - y = 6

3x - 0 = 6

3x = 6

x = 2

y-intercept:

x = 0

0 - y = 6

-y = 6

y = -6

So, x-intercept is 2 and y-intercept is -6.

Problem 3 :

2x - 3y = 6

Solution :

x-intercept :

y = 0

2x - 3y = 6

2x - 0 = 6

2x = 6

x = 3

y-intercept :

x = 0

0 - 3y = 6

-3y = 6

y = -2

So, x-intercept is 3 and y-intercept is -2.

Problem 4 :

4x + 3y = 12

Solution :

x-intercept :

y = 0

4x + 3y = 12

4x + 0 = 12

4x = 12

x = 3

y-intercept :

x = 0

0 + 3y = 12

3y = 12

y = 4

So, x-intercept is 3 and y-intercept is 4.

Problem 5 :

x + y = 5

Solution :

x-intercept :

y = 0

x + y = 5

x + 0 = 5

x = 5

y-intercept :

x = 0

0 + y = 5

y = 5

So, x-intercept is 5 and y-intercept is 5.

Problem 6 :

x - y = - 5

Solution :

x-intercept :

y = 0

x - y = - 5

x - 0 = - 5

x = - 5

y-intercept :

x = 0

0 - y = - 5

-y = -5

y = 5

So, x-intercept is -5 and y-intercept is 5.

Problem 7 :

2x - y = - 4

Solution :

x-intercept :

y = 0

2x - y = - 4

2x - 0 = - 4

2x = -4

x = -2

y-intercept :

x = 0

0 - y = - 4

-y = - 4

y = 4

So, x-intercept is -2 and y-intercept is 4.

Problem 8 :

9x - 2y = 9

Solution :

x-intercept :

y = 0

9x - 2y = 9

9x - 0 = 9

9x = 9

x = 1

y-intercept :

x = 0

0 - 2y = 9

-2y = 9

y = -9/2

So, x-intercept is 1 and y-intercept is -9/2.

Problem 9 :

3x + 4y = -15

Solution :

x-intercept :

y = 0

3x + 4y = -15

3x + 0 = -15

3x = -15

x = -5

y-intercept :

x = 0

0 + 4y = -15

4y = -15

y = -15/4

So, x-intercept is -5 and y-intercept is -15/4.

FIND X AND Y INTERCEPTS OF A LINE

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