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]