Q. 185.0( 2 Votes )

Find the equation

Answer :

Let the x intercept be ‘a’. It is given that x intercept exceeds the y intercept by 5


y intercept = a– 5


The equation of the line using the intercept form is



Substituting Value of b




x (a–5) + ya = a(a–5)


Given that the point (22, –6) lies on this equation of the line, hence it should satisfy it


22(a–5) + (–6) a = a(a–5)


22a – 110 – 6a = a2 –5a


a2 – 21a + 110 = 0


a(a–10) – 11(a –10) = 0


(a–11) (a–10)


a = 11 or 10


The equation of the line is


x(11–5) + 11y = 11(11–5)


6x + 11y – 66 = 0


Or


x(10–5) + 10y = 10(10–5)


5x + 10y– 50 = 0


x + 2y –10 = 0


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