Question

Find the equation of a line parallel to x -axis and passing through the origin.

Answer 1

Let the coordinates of any point A on x-axis is ( a,0,0 ).

The equation of a line parallel to the given line and passing through the point is,

x− x 1 x 0 = y− y 1 y 0 = z− z 1 z 0 x−0 a = y−0 0 = z−0 0 x 1 = y 0 = z 0 =a

Therefore, the equation of a line parallel to the x axis and passing through the origin is x 1 = y 0 = z 0 .