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

1 Answer
May 31, 2016

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

Explanation:

A point is on the X-axis if and only if the yy component of its coordinate is equal to 00. That is y=0y=0 for all points on the X-axis and is only equal to 00 for points on the X-axis.

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