# What is the standard form of the equation of a line with x-intercept 2 and y intercept -6?

Apr 14, 2018

color(brown)(3x - y = 6 " is the standard form of the equation."

#### Explanation:

Standard form of equation of a line is $a x + b y = c$

Given : x-intercept = 2, y-intercept = -6

Intercept form of equation can be written as $\frac{x}{a} + \frac{y}{b} = 1$ where a is the x-intercept and b is the y-intercept.

$\therefore \frac{x}{2} + \frac{y}{-} 6 = 1$

Taking -6 as L C M,

$\frac{- 3 x + y}{-} 6 = 1$

$- 3 x + y = - 6$

color(brown)(3x - y = 6 " is the standard form of the equation."#