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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