Question

Find the equation of the horizontal line that is drawn through the point $(-4,0).$

• A. $y=0$
• B. $y=-4$
• C. $x=0$
• D. $x=-4$

Answer 1

The correct option is A $y=0$

As $x$ is negative and $y$ is zero, Hence the given point lies on the $x$-axis and on left side of the origin.

Draw a horizontal line through (-4, 0) such that only the values of $x$-coordinate will change on that line when we move left or right on that line. The value of $y$-coordinate will remain constant, and it is 0.
Hence, $y=0$

$\therefore$ The horizontal line through $(-4,0)$ is $y=0$.
$\therefore$ Option (a) is correct.