Respuesta :

Answer:

y = 6

Step-by-step explanation:

We are to find the equation of the horizontal line which passes through the point (-4,6).

Since the line is horizontal so the slope will be zero and the equation will be [tex] y = c [/tex] for some constant [tex] c [/tex].

We know that the line passes through the point (-4,6) so the constant [tex] c [/tex] will be 6 at all points on the line.

Therefore, the equation of the horizontal line will be y = 6.

ANSWER

[tex]y = 6[/tex]

EXPLANATION

The equation of a horizontal line passing through:

[tex](x_1,y_1)[/tex]

is given by

[tex]y=y_1[/tex]

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

[tex]y = 6[/tex]