Find the equation of a line which passes through the point (22, -6) and is such that the intercept on x-axis exceeds the intercept on the y-axis by 5.

Concept Used:


The equation of the line with intercepts a and b is


Given:


Here, a =b+5 ……..(1)


Explanation:


The line passing through the point (22, -6)


………(2)


Substituting a = b + 5 from equation (1 ) in equation (2)




(b – 5)(b – 6)=0


b = 5, 6


From equation (1)


When b = 5 then a = 10


When b = 6 then a = 11


Thus the equation of the required line is


and


Thus the equations are


x + 2y=10, 6x +11y=66


Hence, the equation of line is x + 2y=10, 6x +11y=66


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