Write the standard form of the equation of the line passing through (4,1) and parallel to x=0.

 The equation of the line is x = 4.

Step-by-step explanation:  We are given to write the standard form the equation of a line which passes through the point (4, 1) and parallel to the line x = 0.

All the lines parallel to the line x = 0 are given by the following equation

Also, since the line passes through the point (4, 1), so equation (i) must be satisfied by the point (4, 1).

Substituting the point (4, 1) in equation (i), we have

which is the standard equation of the line.

The graphs of the lines x = 0 and its parallel line x = 4 passing through the point (4, 1) are shown in the attached figure.

Thus, the required equation of the line is x = 4.