Q. 104.3( 9 Votes )

Find the equation of the straight line which passes through the point (-3, 8) and cuts off positive intercepts on the coordinate axes whose sum is 7

Answer :

Concept Used:

The equation of the line with intercepts a and b is

Given:

Here a + b = 7, b = 7 – a

Explanation:

The line is passing through (-3, 8).

Substituting b =7 – a, we get

a2 + 4a – 21 = 0

(a – 3)(a + 7)= 0

a = 3 ( since, a can only be positive )

Substituting a = 3 in equation (i) we get,

b = 7 – 3 = 4

Hence, the equation of the line is

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