# 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