Question

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

$(x, y)$	is it a solution?
$(-5, -2)$	$circ$	$circ$
$(-2, 0)$	$circ$	$circ$
$(3, 8)$	$circ$	$circ$
$(4, -6)$	$circ$	$circ$

Explanation:

To determine if an ordered pair \((x, y)\) is a solution to \(y = -2\), we only need to check the \(y\)-value of the ordered pair. If the \(y\)-value is \(-2\), then it is a solution; otherwise, it is not.

Step 1: Check \((-5, -2)\)

The \(y\)-value here is \(-2\), which matches the equation \(y = -2\). So, this is a solution.

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

The \(y\)-value here is \(0\), which does not match \(y = -2\). So, this is not a solution.

Step 3: Check \((3, 8)\)

The \(y\)-value here is \(8\), which does not match \(y = -2\). So, this is not a solution.

Step 4: Check \((4, -6)\)

The \(y\)-value here is \(-6\), which does not match \(y = -2\). So, this is not a solution.

Answer:

• For \((-5, -2)\): Yes
• For \((-2, 0)\): No
• For \((3, 8)\): No
• For \((4, -6)\): No