Answer:
False
Step-by-step explanation:
They are two different points. A way to check it is changing to cartesian coordinates, the formula to change from polar to cartesian is:
[tex]x = rcos(\theta)\\y = rsin(\theta)[/tex]
For the point [tex](-4, \pi)[/tex]
[tex]x_1=-4cos(\pi)=4\\y_1=-4sin(\pi)=0[/tex]
For the point [tex](4,-\pi)[/tex]
[tex]x_2=4cos(-\pi)=-4\\y_2=4sin(-\pi)=0[/tex]
[tex](4,0)\neq (-4,0)[/tex]