Respuesta :

[tex]y=\dfrac{4}{x}\\\\a.\ (1;\ 4)\to x=1\ and\ y=4.\ Subtitute:\ 4=\dfrac{4}{1}\\\\4=4-correct\\\\b.\ (2;\ 8)\to x=2\ and\ y=8.\ Subtitute:\ 8=\dfrac{4}{2}\\\\8=2-false\\\\c.\ \left(2;\ \dfrac{1}{2}\right)\to x=2\ and\ y=\dfrac{1}{2}.\ Subtitute:\ \dfrac{1}{2}=\dfrac{4}{2}\\\\\dfrac{1}{2}=2-false\\\\d.\ \left(\dfrac{1}{4};\ 2\right)\to x=\dfrac{1}{4}\ and\ y=2.\ Subtitute:\ 2=\dfrac{4}{\frac{1}{4}}\\\\2=16-false[/tex]

Answer: a. (1; 4).