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

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Answer 1 · 2018-04-14T01:31:30

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

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."#