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

Find the distance from point (0,3) to the line y=3x-9-example-1
User Mau Ruiz
by
7.5k points

1 Answer

8 votes

Answer:

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) )

User Duffy
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