The equation of a line is x + 5y = 12. What is the y-intercept of the line?

Solution:

The given equation of a line is 

x + 5y = 12

To find the y-intercept we have to substitute x = 0

0 + 5y = 12

5y = 12

Dividing both sides by 5

y = 12/5

Therefore, the y-intercept of the line is 12/5.

Example -

The equation of a line is 2x + 3y = 24. What is the y-intercept of the line?

Solution:

The given equation of a line is 

2x + 3y = 24

To find the y-intercept we have to substitute x = 0

2(0) + 3y = 24

3y = 24

Dividing both sides by 3

y = 8

Therefore, the y-intercept of the line is 8.

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The equation of a line is x + 5y = 12. What is the y-intercept of the line?

Summary:

The equation of a line is x + 5y = 12. The y-intercept of the line is 12/5.