Question

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

Options

• (0, −4)

• (4, 0)

• (4, 4)

• (0, 4)

Answer 1

The line 5x − 2y + 8 = 0, intersects the y-axis at point A, the co-ordinates of point A are (0, 4).

Explanation:

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 = `8/2`​ = 4

∴ A = (0, b) = (0, 4)