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Mathematics

The line 5x - 4y - 20 = 0 intersects y-axis at point A. The co-ordinates of point A are :

  1. (-5, 0)

  2. (5, 0)

  3. (0, 5)

  4. (0, -5)

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Answer

It is given that the line 5x - 4y - 20 = 0 intersects y-axis at point A.

At the y-axis, the x-coordinate is 0. Let A = (0, b) means x = 0 and y = b.

⇒ 5 ×\times 0 - 4 ×\times b - 20 = 0

⇒ 0 - 4b - 20 = 0

⇒ 4b + 20 = 0

⇒ 4b = - 20

⇒ b = - 204\dfrac{20}{4}

⇒ b = - 5

A = (0, -5)

Hence, option 4 is the correct option.

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