Question

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

Answer 1

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 $\sqrt{5}m$