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QUESTION IMAGE

graph this equation: x = -2 click to select points on the graph.

Question

graph this equation:

x = -2

click to select points on the graph.

Explanation:

Step1: Analyze the equation type

The equation \(x = - 2\) is a vertical line. For any vertical line \(x = a\), the \(x\)-coordinate of every point on the line is \(a\), and the \(y\)-coordinate can be any real number.

Step2: Determine points on the line

We can choose arbitrary \(y\)-values. Let's take \(y = 0\), \(y = 2\), and \(y=-2\). The points on the line \(x = - 2\) are \((-2,0)\), \((-2,2)\), and \((-2,-2)\)

To graph the line \(x=-2\), draw a straight vertical line passing through the \(x\)-intercept \((-2,0)\) that extends infinitely in both the positive and negative \(y\)-directions.

Answer:

A vertical line passing through the point \((-2,0)\) (and other points with \(x = - 2\) like \((-2,1)\), \((-2, - 1)\) etc.) should be graphed.