Question

rotate point (-7,2) 180 about the origin

Answer 1

$\sf(x,y)=(–7,2)$

Therefore after a rotation of axes by 180°

$\sf\small{(x'cos(\pi)–y'sin(\pi),x'sin(\pi)+y'cos(\pi))=(-7,2)}</p><p>$

$\bf \implies \boxed{ \large (x',y')=(7,-2)}$

Which are the final coordinates after rotation.