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Mathematics

The line 5x + 3y = 15 meets y-axis at point P. The co-ordinates of point P are :

  1. (0, 5)

  2. (0, 3)

  3. (5, 0)

  4. (3, 0)

Straight Line Eq

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Answer

We know that,

x-coordinate at y-axis = 0.

Let point P be (0, a).

Since,

Line 5x + 3y = 15 meets y-axis at point P.

∴ Point P(0, a) satisfies the equation 5x + 3y = 15.

⇒ 5(0) + 3a = 15

⇒ 0 + 3a = 15

⇒ 3a = 15

⇒ a = 153\dfrac{15}{3} = 5.

∴ P = (0, a) = (0, 5).

Hence, Option 1 is the correct option.

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