Question

Find the distance from point (0,3) to the line y=3x-9

Answer 1

Answer:

The distance from a point to the line

   $d = \frac{9}{\sqrt{10} }$

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

           $d = \frac{ax_{1} +by_{1} +c_{1} }{\sqrt{a^{2} +b^{2} } }$

         $d = |\frac{3(0) -3 -9 }{\sqrt{3^{2} +1^{2} } }|$

         $d = \frac{9}{\sqrt{10} }$