Respuesta :

Answer:

The distance from a point to the line

   [tex]d = \frac{9}{\sqrt{10} }[/tex]

Step-by-step explanation:

Explanation:-

Given straight line y = 3x-9 and point ( 0, 3)

Given straight line 3 x - y -9 =0

The distance from a point to the line

           [tex]d = \frac{ax_{1} +by_{1} +c_{1} }{\sqrt{a^{2} +b^{2} } }[/tex]

         [tex]d = |\frac{3(0) -3 -9 }{\sqrt{3^{2} +1^{2} } }|[/tex]

         [tex]d = \frac{9}{\sqrt{10} }[/tex]