A student conducts an experiment with a candle. The height of the candle decreases uniformly as it burns. The height \(y\) (in \(cm\)) after \(x\) minutes is given by a linear equation. At the start, the candle is \(15 \ cm\) tall, and it burns down at a rate of \(1.6 \ cm\) per minute.
So, the relation is:
\(y = -1.6x+15\)
(a) What is the slope of the above relation?
(b) What is the y - intercept of the above relation?
(c) What is the height of the candle after \(3\) minutes?
(d) After how many minutes will the candle completely burn out?