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

1 Answer
Apr 14, 2018

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

Explanation:

![https://www.onlinemathlearning.com/http://equation-of-a-line-types.html](https://useruploads.socratic.org/3JCXHRyTTiGh21ueGv2D_forms-equation-of-line.png)

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 x / a + y / b = 1 where a is the x-intercept and b is the y-intercept.

:. x / 2 + y / -6 = 1

Taking -6 as L C M,

(-3x + y) / -6 = 1

-3x + y = -6

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