Question

If the line 3x − 5y = 15 meets the X-axis at point A, then the co-ordinates of A are ______.

Options

• (3, 0)

• (−3, 0)

• (5, 0)

• (−5, 0)

Answer 1

If the line 3x − 5y = 15 meets the X-axis at point A, then the co-ordinates of A are (5, 0).

Explanation:

When a line meets the X-axis, its y-coordinate is always 0.

To find a point A, substitute y = 0 into the equation:

3x − 5(0) = 15

3x = 15

`x = 15/3`

∴ x = 5

So, the coordinates are (5, 0).