On the boundary line of \(y\ge -x+6\), what is the value of \(y\) when \(x=2\)?

Correct answer: \(4\)

To obtain the boundary line of \(y\ge -x+6\), replace \(\ge\) with equality: \(y=-x+6\). Substituting \(x=2\) gives \(y=-2+6=4\). Therefore, the correct answer is \(4\). Note that \(6\) is the value of \(y\) only when \(x=0\). Exam tip: For a boundary line, first replace the inequality sign with \(=\).