Obtain the equation of the family of straight lines parallel to the line y=2x.

Find the equation of the tangent to the curve x^2+3y=3 parallel to the line y-4x+5=0 . Find also the equation of the normal to the curve at the point of contact.

Given the straight line (x+5)/1=(y+3)/4=(z-6)/-9 Obtain the equation of the straight line passing through (2,4,-1) and line parallel to the given line.

Which one of the following pair of straight lines are parallel?

Find the equation of the line parallel to the line 3x-4y+2=0 and passing through the point (-2,3).

The equation of the line passing through (a,b) and parallel to the line (x)/(a)+(y)/(b)=1 is

The figure shows an ellipse x^2/25+y^2/9=1 and a line L. Find the equation of the line parallel to the line L and passing through any one of the foci.

The equation of the plane through the point (2,-1,-3) and parallel to the lines (x-1)/(3)= (y+2)/(2)= ( z)/(-4) and ( x)/(2)= (y-1)/(-3) = (z-2)/(2) is

Consider the line 4x-3y+12=0 Find the equation of the line passing through the point (1,2) and parallel to the given line.