In the line (y=0x+6), what change will occur in (y) when (x) increases by (10)?

Correct answer: \(0\)

The equation is \(y=0x+6\), so its slope is \(0\). When \(x\) increases by \(10\), the change in \(y\) is \(\Delta y=m\Delta x=0\times10=0\). The number \(6\) is only the y-intercept; it does not represent the change in \(y\) as \(x\) changes. Exam tip: In \(y=mx+c\), if \(m=0\), the line is horizontal and \(y\) remains constant.