# Y Intercept Formula

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y and a y-intercept is a point where the graph of a function or relation intersects with the y-axis of the coordinate system.

The Y Intercept Formula of a line Ax + By = C is,

\[\large y=\frac{C}{B}\]

If, the Y Intercept Formula of a line in the slope intercept form y = mx + c is,

\[\large y=c\]

Where,

m = is the slope of the line.

c = is the intercept of the line.

If, the Y Intercept Formula of a line in the point slope form y – b = m(x – a) is,

\[\large y=\; -am+b\]

Where,

m is the slope of the line.

(a,b) is a point on the line.

### Solved Examples

Some solved problems on Y Intercept are given below:

**Question 1: **Find the y intercepts of the equation 3x + 4y = 12.

**Solution:
**To find the y-intercept, set x = 0 and solve for y.

3(0) + 4y = 12

0 + 4y = 12

4y = 12

y = 12/4

y = 3