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

1 Answer
Apr 14, 2018

Answer:

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

Explanation:

https://www.onlinemathlearning.com/equation-of-a-line-types.html

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."#