Question

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

Options

• (0, 5)

• (0, 3)

• (5, 0)

• (3, 0)

Answer 1

The line 5x + 3y = 15 meets y-axis at point P. The co-ordinates of point P are (0, 5).

Explanation:

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 = `15/3​ = 5`

∴ P = (0, a) = (0, 5)