Question

for each ordered pair, determine whether it is a solution to $x = -2$.

$(x,y)$	is it a solution?
$(5, 8)$	$circ$	$circ$
$(-2, 9)$	$circ$	$circ$
$(-7, -4)$	$circ$	$circ$
$(0, -2)$	$circ$	$circ$

Explanation:

Step1: Analyze the equation \( x = -2 \)

The equation \( x = -2 \) represents a vertical line where the \( x \)-coordinate of every point on the line is \( -2 \), regardless of the \( y \)-coordinate. So, an ordered pair \( (x, y) \) is a solution if and only if the \( x \)-value is \( -2 \).

Step2: Check \( (5, 8) \)

For the ordered pair \( (5, 8) \), the \( x \)-coordinate is \( 5 \), which is not equal to \( -2 \). So, it is not a solution.

Step3: Check \( (-2, 9) \)

For the ordered pair \( (-2, 9) \), the \( x \)-coordinate is \( -2 \), which matches the equation \( x = -2 \). So, it is a solution.

Step4: Check \( (-7, -4) \)

For the ordered pair \( (-7, -4) \), the \( x \)-coordinate is \( -7 \), which is not equal to \( -2 \). So, it is not a solution.

Step5: Check \( (0, -2) \)

For the ordered pair \( (0, -2) \), the \( x \)-coordinate is \( 0 \), which is not equal to \( -2 \). So, it is not a solution.

Answer:

• \( (5, 8) \): No
• \( (-2, 9) \): Yes
• \( (-7, -4) \): No
• \( (0, -2) \): No

Filling in the table:

\((x, y)\)	Yes	No
\((-2, 9)\)	\(\circ\)
\((-7, -4)\)		\(\circ\)
\((0, -2)\)		\(\circ\)