Verified answer

[tex]\displaystyle\bf\\22)\\\\y=kx\\\\B(32 \ ; \ -4) \ \ \Rightarrow \ \ x=32 \ \ ; \ \ y=-4\\\\-4=k\cdot 32\\\\k=-4:32\\\\\boxed{k=-0,125}\\\\\\23)\\\\y=\frac{k}{x} \\\\A(30 \ ; \ -5) \ \ \Rightarrow \ \ x=30 \ \ , \ \ y=-5\\\\\\-5=\frac{k}{30} \\\\k=-5\cdot 30\\\\\boxed{k=-150}[/tex]