Question

The line 5x − 4y − 20 = 0 intersects y-axis at point A. The co-ordinates of point A are ______.

Options

• (−5, 0)

• (5, 0)

• (0, 5)

• (0, −5)

Answer 1

The line 5x − 4y − 20 = 0 intersects y-axis at point A. The co-ordinates of point A are (0, −5).

Explanation:

A line intersects the y-axis where its x-coordinate is 0. Substituting x = 0 into the equation 5x − 4y − 20 = 0:

5(0) − 4y − 20 = 0

−4y = 20

y = −5

Thus, the coordinates of point A are (0, −5).