To determine the equation of a horizontal line through a given point, you need to understand that a horizontal line has a constant y-coordinate, regardless of the x-coordinate.
Given the point [tex]\((-4, 6)\)[/tex]:
1. Identify the y-coordinate of the given point, which is 6.
2. For a horizontal line, the y-coordinate remains constant at all points along the line.
Therefore, the equation of the horizontal line that passes through the point [tex]\((-4, 6)\)[/tex] is simply:
[tex]\[ y = 6 \][/tex]
