Question

What is the equation of a horizontal line passing through the point (2, 10)?

Answer 1

Horizontal line is in the form of \(y=a\).
Saying, that all of the y-coordinates are going to be "a".
((And x-coordinates can be whatever you want.))

So if I wanted to find an equation of a horizontal line
that passes through the point \((4,9)\), then my equation
would be: \(\color{blue}{y=9}\).

Answer 2

so the answer would be 10 then right?

Answer 3

yes, y=10 would be your answer.

Answer 4

And same way, the equation of the vertical line is \(x=a\).
Saying, that all of the \(x\)-coordinates are going to be "a".
((And \(y\)-coordinates can be whatever you want.))

So if I wanted to find an equation of a vertical line that
passes through the point \((-3,6)\), then my equation
would be: \(\color{blue}{x=-3}\).