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
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