jswagballerlife1637 jswagballerlife1637
  • 08-01-2020
  • Mathematics
contestada

Use the distance formula from today’s lesson to find the distance between the point P(−2, 1) and the line y = 2x.

Respuesta :

aristeus aristeus
  • 09-01-2020

Answer:

Distance from the point to the line will be [tex]\sqrt{5}m[/tex]

Step-by-step explanation:

We have given the equation of the line is y = 2x\

So the equation of line will be y-2x = 0

Point from which we have to find the distance is (-2,1)

Distance from a point to line is given by [tex]d=\frac{Ax+By+C}{\sqrt{A^2+B^2}}[/tex] , here A = -2 , B = 1 and C = 0

And point x = -2 and y = 1

So [tex]d=\frac{-2\times -2+1\times 1+0}{\sqrt{(-2)^2+1^2}}=\sqrt{5}m[/tex]

So distance from the point to the line will be [tex]\sqrt{5}m[/tex]

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