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Scilla [17]
3 years ago
6

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

Mathematics
1 answer:
Serga [27]3 years ago
7 0

Answer:

Distance from the point to the line will be \sqrt{5}m

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 d=\frac{Ax+By+C}{\sqrt{A^2+B^2}} , here A = -2 , B = 1 and C = 0

And point x = -2 and y = 1

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

So distance from the point to the line will be \sqrt{5}m

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