Write the equations of straight lines parallel to each of the coordinate axes and passing through the point M (2; 3).

We are given a point with coordinates M (2; 3) and we need to write equations of straight lines that are parallel to each of the coordinate axes and passing through a given point.

Let’s remember how, in general form, you can write the equation of a straight line parallel to the abscissa axis OX. So, this equation has the form y = a (where a – takes a numerical value).

Similarly, we write the equation of a straight line parallel to the ordinate axis OY has the form x = d (d – takes a numerical value).

We know that the lines are parallel to each of the coordinate axes passing through the point M (2; 3).

We write down the equation of lines:

1. parallel to the abscissa axis OX has the form y = 3;

2. parallel to the ordinate axis OY has the form x = 2.