Question

equation of the horizontal line that passes through the point (1, -8)

Answer 1

Horizontal line has the slope 0, so it would be something like \(y = 0x + b\) or \(y = b\)

Answer 2

Ok

Answer 3

Now replace the coordinates to solve for b.

\( \color{Black}{\Rightarrow -8 = 0(1) + b}\)
\( \color{Black}{\Rightarrow -8 = b}\)

Answer 4

So the equation is \(y = -8\)