Çözüldü Coordinate Geometry - Perpendicular Lines

https://i.ibb.co/NTmH8RT/analitik.png
https://images.collegedunia.com/public/college_data/images/entrance/sample_paper/1626697255Rituparna-SAT Math Level 2 Practice Paper 8.pdf
(The last question with no solution or answer)

y = (-π / √2)·x - (3 / 2)^0.5
y = (-a / 3)·x - 2 / 3
(-π / √2)·(-a / 3) = -1 ⇒ a = -3·(√2) / π....(I)
π > 3....(II)
√2 ≈ 1.41....(III)
Considering (II) and (III) that must already be known by any student who will take the SAT exam, the equation (I) turns to the following inequality;
-1.41 < a < 0
So, the correct choice is -1.35.

Note: This question is supposed to be on the calculator-allowed part of the exam, but no such computation is needed at all.