Question

The line 5x − 2y − 10 = 0 intersects x-axis at point P. The co-ordinates of point P are ______.

Options

• (0, 2)

• (0, −2)

• (2, 0)

• (−2, 0)

Answer 1

The line 5x − 2y − 10 = 0 intersects x-axis at point P. The co-ordinates of point P are (2, 0).

Explanation:

A line intersects the x-axis where its y-coordinate is 0. Substituting y = 0 into the equation 5x − 2y − 10 = 0:

5x − 2(0) − 10 = 0

5x = 10

x = 2

Thus, the coordinates of point P are (2, 0).