Question

what is the equation of the horizontal line through (-4, 6)?

Explanation:

Step1: Recall horizontal - line equation

The equation of a horizontal line is of the form $y = k$, where $k$ is a constant.

Step2: Identify the y - coordinate

For a horizontal line passing through the point $(-4,6)$, the $y$-coordinate of all points on the line is the same as the $y$-coordinate of the given point. The $y$-coordinate of the point $(-4,6)$ is 6.

Answer:

$y = 6$