Answer:
The point w is located at -4/3
Step-by-step explanation:
Point z is halfway between point w and x
Point x is halfway between point z and y
Point z is located at 1/3 and point y is located at 11/3
Please refer to the number line attached
Then the x is located at the mid-point of z and y
[tex]x = \frac{z+y}{2} \\\\x = \frac{\frac{1}{3}+ \frac{11}{3} }{2}[/tex]
[tex]x = 2[/tex]
Since z is the mid-point of w and x
[tex]z = \frac{w+ x }{2}\\\\\frac{1}{3} = \frac{w+ 2 }{2}\\\\\frac{2}{3} = w+ 2 \\\\w = \frac{2}{3} - 2\\\\w = -\frac{4}{3}[/tex]
Therefore, the point w is located at -4/3
