Q. 165.0( 1 Vote )

# Find the equation of the line passing through the point (9, –1) and having its x–intercept thrice as its y–intercept.

Answer :

Let the x intercept be ‘a’. it is given that x intercept is thrice the y intercept

⇒ y intercept =

The equation of the line using the intercept form is

Substituting b = a/3 in the equation

⇒

⇒ x + 3y = a

the point (9,–1) lies on the equation of the line thus it must satisfies it

⇒ 9 + 3(–1) = a

⇒ a = 6

Hence the equation of the line is

x + 3y –6 = 0

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