Question

which best represents the equation of the line graphed?
options: ( y = 5 ), ( x = 5 )

Explanation:

Step1: Analyze the line's orientation

The graphed line is horizontal, parallel to the x - axis. For a horizontal line, the equation is of the form \(y = k\), where \(k\) is the y - coordinate of all points on the line.

Step2: Determine the y - value of the line

Looking at the graph, the horizontal line is at \(y = 5\) (since it is parallel to the x - axis and passes through \(y = 5\) on the y - axis). The equation \(x=5\) represents a vertical line (parallel to the y - axis), which is not the case here.

Answer:

\(y = 5\) (the first option, assuming the first option is \(y = 5\) and the second is \(x = 5\))