Question

If a - 5b - 3 = 8, then the straight line ax + by + c = 0 must pass through the point

I) (1, 5)
II) (1, -5)
III) (5, -1)
IV) (-1, 5)
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Answer 1

• III) (5, -1)

Explanation:

Given relationship between the constants of the line ax + by +c = 0:

• a - 5b - 3c = 8

We can try options, the obvious one is:

• a = 0, b = - 1, c = - 1

In this case the line becomes:

• 0x - y - 1 = 0
• y = - 1

This gives us the point (5, - 1), the option III