Question

How do you write an equation of the horizontal line through the point (-4,6)?

Answer 1

`color(green)(y=6)`

Explanation:

The equation of a horizontal line is `y=color(blue)(c)` for some constant `color(blue)(c)`

Since we are told that the line passes through `(color(red)(x),color(blue)(y))=(color(red)(-4),color(blue)(6))`

Then for at least one point on the line `color(blue)(y)=color(blue)(6)`

But for a horizontal line this value is a constant for all points on the line.

So the equation for all points on the line is `y=6`