Question

graph the line ( x = - 3 ).

Explanation:

Step1: Understand the equation

The equation \(x = - 3\) represents a vertical line. For any vertical line \(x = a\), the \(x\)-coordinate of every point on the line is \(a\), and \(y\) can be any real number.

Step2: Plot points

We can choose some values of \(y\) and find the corresponding points. When \(y = 0\), the point is \((-3,0)\); when \(y = 2\), the point is \((-3,2)\); when \(y=-2\), the point is \((-3, - 2)\).

Step3: Draw the line

Connect the points \((-3,0)\), \((-3,2)\), \((-3,-2)\) (and other points with \(x=-3\)) with a straight line. This line is parallel to the \(y\)-axis and passes through \(x = - 3\) on the \(x\)-axis.

Answer:

Draw a vertical line passing through the point \((-3,0)\) on the \(x\)-axis. All points on this line have an \(x\)-coordinate of \(-3\) and \(y\) can be any real - valued number.