Question

graph the linear equation.
( y = -2 )
use the graphing tool to graph the linear equation
click to enlarge graph

Explanation:

Step1: Analyze the equation

The equation is \( y = -2 \), which is a horizontal line. For any value of \( x \), \( y \) is always \(-2\). So we need to plot points where the \( y \)-coordinate is \(-2\) and draw a horizontal line through them.

Step2: Identify key points

We can choose two points, for example, when \( x = 0 \), \( y = -2 \) (the point \((0, -2)\)), and when \( x = 3 \), \( y = -2 \) (the point \((3, -2)\)). Plot these points on the coordinate plane.

Step3: Draw the line

Draw a horizontal line passing through the points with \( y \)-coordinate \(-2\). This line will be parallel to the \( x \)-axis and intersect the \( y \)-axis at \((0, -2)\).

Answer:

The graph of \( y = -2 \) is a horizontal line parallel to the \( x \)-axis, passing through all points with \( y \)-coordinate \(-2\) (e.g., \((0, -2)\), \((1, -2)\), \((-1, -2)\), etc.). When plotted on the given coordinate grid, it is a horizontal line 2 units below the \( x \)-axis.