In which quadrant or on which axis would you find the point (4,0)?

1 Answer
May 31, 2016

#(4,0)# is on the (positive) X-axis

Explanation:

A point is on the X-axis if and only if the #y# component of its coordinate is equal to #0#. That is #y=0# for all points on the X-axis and is only equal to #0# for points on the X-axis.

For a point on the X-axis the point is
#color(white)("XXX")#on the positive X-axis if the #x# component is #> 0#
#color(white)("XXX")#on the negative X-axis if the #x# component is #< 0#
#color(white)("XXX")#at the origin if the #x# component is #= 0#