Find the distance from the point (-10,-5) to the line y = -5x - 3.

d) units

The perpendicular distance from the point to the line is

                                                           units

Step-by-step explanation:

Step(i):-

Given point is ( -10 , -5)

Given line is y = -5 x -3

                 5 x + y + 3 = 0

The perpendicular distance from the point to the line is

   Given line is 5 x + y +3 =0

              a = 5 , b = 1 , c = 3

  Given point is  (x₁ , y₁) = ( -10 , -5)

Step(ii):-

The perpendicular distance from the point to the line is

              ( ∵ 26 = √26 × √26)

Final -    

  The perpendicular distance from the point to the line is