Question

Find the equation of a line which cuts off intercepts on the axes whose sum and product are 1 and-6, respectively?

Answer 1

Recall the intercept form of a line: x/a + y/b = 1
Now, you have
a+b = 1
ab = -6
This can be solved, but you know the factors of 6 are 2 and 3, so you must have
a = -2
b = 3

So, the equation of the line is

x/-2 + y/3 = 1

Bow rearrange that into whichever form you like.

Answer 2

Thanks it was an easy method..