A line is written in the form \(y=mx+c\). It must have the same \(y\)-intercept as the line \(y=-2x+5\), but a different slope. Which condition ensures this?

Correct answer: \(c=5,\ m\ne -2\)

In \(y=mx+c\), \(c\) is the \(y\)-intercept and \(m\) is the slope. Thus, the same intercept requires \(c=5\), while a different slope requires \(m\ne-2\). Option B gives the same slope. Exam tip: do not interchange the roles of \(m\) and \(c\).