Explicație pas cu pas:
[tex]y = 2x - 6 \\ 2x - y - 6 = 0[/tex]
O(0;0) =>
[tex]d_{1}: ax + by + c = 0 \\ d = \frac{ |ax_{O} + by_{O} + c| }{ \sqrt{{a}^{2} + {b}^{2}}} = \frac{ |c| }{ \sqrt{{a}^{2} + {b}^{2}}}[/tex]
[tex]d = \frac{ | - 6| }{ \sqrt{{2}^{2} + {( - 1)}^{2}}} = \frac{6}{ \sqrt{5} } = \bf \frac{6 \sqrt{5} }{5} \\ [/tex]