Find the equations of the lines parallel to the axes and passing through the point $(-2, 3)$.
(N/A) The position of the lines is shown in the figure.
For a line parallel to the $x$-axis,the $y$-coordinate of every point on the line remains constant. Since the line passes through $(-2, 3)$,the $y$-coordinate is $3$. Therefore,the equation of the line parallel to the $x$-axis is $y = 3$.
Similarly,for a line parallel to the $y$-axis,the $x$-coordinate of every point on the line remains constant. Since the line passes through $(-2, 3)$,the $x$-coordinate is $-2$. Therefore,the equation of the line parallel to the $y$-axis is $x = -2$.
For a line parallel to the $x$-axis,the $y$-coordinate of every point on the line remains constant. Since the line passes through $(-2, 3)$,the $y$-coordinate is $3$. Therefore,the equation of the line parallel to the $x$-axis is $y = 3$.
Similarly,for a line parallel to the $y$-axis,the $x$-coordinate of every point on the line remains constant. Since the line passes through $(-2, 3)$,the $x$-coordinate is $-2$. Therefore,the equation of the line parallel to the $y$-axis is $x = -2$.
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