Question

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

Answer 1

The distance from a point to the line

`d = (9)/(√(10) )`

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 = (9)/(√(10) )`