Question

complete the table, and graph the corresponding ordered pairs. draw the line defined by the points to represent all solutions to the equation.
\\( x = -2 \\)

part 1 of 3
complete the table.

\\( x \\)	\\( y \\)
\\( \square \\)	-3
\\( \square \\)	1

part 2 of 3
graph all three ordered pairs from the table in part 1.

Explanation:

Step1: Recall the equation

The equation is \( x = -2 \). This is a vertical line where the \( x \)-coordinate is always -2, regardless of the \( y \)-value.

Step2: Find \( x \) for \( y = 0 \)

For the first row where \( y = 0 \), since \( x = -2 \) for all \( y \), the \( x \)-value is -2.

Step3: Find \( x \) for \( y = -3 \)

For the second row where \( y = -3 \), using the equation \( x = -2 \), the \( x \)-value is -2.

Step4: Find \( x \) for \( y = 1 \)

For the third row where \( y = 1 \), using the equation \( x = -2 \), the \( x \)-value is -2.

Answer:

The completed table is:

\( x \)	\( y \)
-2	-3
-2	1

For the graphing part, the three ordered pairs are \((-2, 0)\), \((-2, -3)\), and \((-2, 1)\). To graph them, plot each point on the coordinate plane where the \( x \)-coordinate is -2 and the \( y \)-coordinate is as given. Then draw a vertical line through these points (since \( x = -2 \) is a vertical line) to represent all solutions.