Respuesta :

The equation of the line that contains point O(0; 0): y = mx.

[tex]m=\dfrac{y_0}{x_0}[/tex]

[tex](1;\ 5)\to x_0=1;\ y_0=5\\\\subtitute:m=\dfrac{5}{1}=5[/tex]

Answer: [tex]\boxed{y=5x}[/tex]