Problem:
Find the distance from the point ${\frac{10}{3}, -\frac{5}{3}}$ to the line $-\frac{2 x}{3}+y-\frac{7}{3}=0$.
Answer:
$\frac{56}{3 \sqrt{13}}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/point_to_plane_distance/12327.txt'}