Question

what is the equation of the graph? x = 2 x = - 2 y = 2 y = - 2x

Explanation:

Step1: Analyze the nature of the graph

If the graph is a horizontal line, its equation is of the form $y = k$ (where $k$ is a constant). If it is a vertical line, its equation is of the form $x = k$. If it is a non - vertical and non - horizontal line passing through the origin, its equation is of the form $y=mx$ where $m$ is the slope.

Step2: Check each option

For $x = 2$, it represents a vertical line passing through $x = 2$ on the $x$ - axis. For $x=-2$, it represents a vertical line passing through $x = - 2$ on the $x$ - axis. For $y = 2$, it represents a horizontal line passing through $y = 2$ on the $y$ - axis. For $y=-2x$, it is a straight line passing through the origin with a slope of $-2$. Without seeing the actual graph, we assume a horizontal line case. A horizontal line has a slope of 0 and is of the form $y = c$. If the line is passing through a point where the $y$ - coordinate is 2, the equation is $y = 2$.

Answer:

$y = 2$