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Mathematics

The line 5x - 2y + 8 = 0, intersects the y-axis at point A, the co-ordinates of point A are :

  1. (0, -4)

  2. (4, 0)

  3. (4, 4)

  4. (0, 4)

Straight Line Eq

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Answer

We know that,

x co-ordinate at y-axis = 0.

Let co-ordinates of A are (0, b).

Since,

Line 5x - 2y + 8 = 0, intersects the y-axis at point A(0, b).

∴ Point A satisfies the equation 5x - 2y + 8 = 0.

Substituting values we get :

⇒ 5(0) - 2b + 8 = 0

⇒ 0 - 2b + 8 = 0

⇒ 2b = 8

⇒ b = 82\dfrac{8}{2} = 4.

∴ A = (0, b) = (0, 4).

Hence, Option 4 is the correct option.

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