Question

graph the line y = - 2.

Explanation:

Step1: Identify the form of the equation

The equation $y=-2$ is a horizontal - line equation of the form $y = k$, where $k=-2$.

Step2: Determine points on the line

For any value of $x$ (e.g., when $x = 0$, $y=-2$; when $x = 1$, $y=-2$; when $x=-1$, $y = - 2$), the $y$-coordinate is always $-2$.

Step3: Graph the line

Plot several points with $y=-2$ (such as $(0,-2)$, $(1,-2)$, $(-1,-2)$) and then draw a straight line through them. This line is parallel to the $x$-axis and is 2 units below the $x$-axis.

Answer:

Draw a horizontal line passing through the point $(0, - 2)$ on the $y$-axis. The line extends infinitely in both the positive and negative $x$-directions.