In what ratio does x-axis divide the line segment joining the points (3, -4) and (2 ,6)? 

3 : 2

The section formula determines the ratio in which a given line is divided.

Identify the y-coordinates of the two points.

The y-coordinates are -4 and 6.

The x-axis is the line where y = 0.

The ratio is calculated using the section formula, which is |y2| : |y1|.

⇒ |6| : |-4|

⇒ 6 : 4

⇒ 3 : 2