Question

what is the equation of the graph shown here? options: y=4, x=4, y=-4, x=-4

Explanation:

Step1: Analyze the graph's orientation

The graph is a horizontal line, so it has a constant \( y \)-value for all \( x \).

Step2: Determine the \( y \)-intercept

Looking at the graph, the horizontal line is at \( y = 4 \) (since it's parallel to the \( x \)-axis and passes through \( y = 4 \) on the \( y \)-axis).

Step3: Match with the options

The equation of a horizontal line is \( y = k \), where \( k \) is the \( y \)-value. Here, \( k = 4 \), so the equation is \( y = 4 \).

Answer:

\( y = 4 \) (corresponding to the first option: \( y = 4 \))