The point P(1,1) is translated parallel to the line 2x=y in the first quadrant through a unit distance. The coordinates of the new position of P are

Form the eqn of line passing through P(1,1) and is parallel to y=2x using 1 point form of the eqn of st. line. Let the new location of P be(x₁,y₁). This point would lie on the line whose eqn has been formed and hence will satisfy the eqn. Obtain a relation of y₁with x₁. The second eqn for solving the value of the new coordinates of P can be obtianed from the distance eqn. between P(1,1) and (x₁,y₁). This will give you 2 eqns in terms of x1 and y1 and can be used to obtain the coordinates.

Hi,

Do this by making the figure.
Draw line y=2x and locate point (1,1) by your own judgement. Now move this point by unit distance and using the slope of the line, find the displacements in x and y direction. FInd the location of new point.

thanks