# What are the intercepts for horizontal and vertical line graphs?

Apr 14, 2018

color(blue)("Horizontal line " x = a

color(purple)("Vertical line " y = b

#### Explanation:

Refer table above.

$\text{Equation of a line in" color(red)("Intercept Form") "is given by}$

$\frac{x}{a} + \frac{y}{b} = 1 , \text{ where a in x-intercept and b the y-intercept}$

For a horizontal line, y = 0 or y/b = 0 and the equation becomes,

$\frac{x}{a} = 1 \text{ or } x = a$

Similarly, for a vertical line, x = 0 or x / a = 0 and the equation becomes,

$\frac{y}{b} = 1 \text{ or } y = b$