The straight line passing through the points (0, 0), (-1, 1) and (1, -1) has equation

(a) 2-x = 3y

(b) y = x

(c) 2x-y = 0

(d) x+y = 0

Solution:

We have to check whether the given points satisfy the equations.

Check option d.

x+y = 0

0+0 = 0

-1+1 = 0

1-1 = 0

All the given points satisfy the equation x+y = 0. 

We can see that the given points do not satisfy the other options.

Hence option d is the answer.

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