Question

the graph represents the solution set of which of the following equations:

$\bigcirc\\ y = -2x$

$\bigcirc\\ y = x - 2$

$\bigcirc\\ y = -2$

$\bigcirc\\ x = -2$

Explanation:

Step1: Identify line type

The graph is a horizontal line. Horizontal lines have the form $y = k$, where $k$ is a constant.

Step2: Find y-value of the line

The line lies 2 units below the x-axis, so $k=-2$.

Step3: Match with options

The equation $y=-2$ matches the horizontal line at $y=-2$.

Answer:

$\boldsymbol{y=-2}$