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

Distance from the point to the line will be
`√(5)m`

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=(Ax+By+C)/(√(A^2+B^2))` , here A = -2 , B = 1 and C = 0

And point x = -2 and y = 1

So
`d=(-2* -2+1* 1+0)/(√((-2)^2+1^2))=√(5)m`

So distance from the point to the line will be
`√(5)m`