What is the equation of the horizontal line through (−4,6)

Given:
Horizontal line
(The slope of horizontal line equals zero. m = 0)
(x₁,y₁) = (-4,6)

Solution:
General formula for finding line equation
y - y₁ = m(x - x₁)

plug in the numbers
y - 6 = 0(x - (-4))
y - 6 = 0
y = 6

The equation of the horizontal line is