Chapter A, Problem 1P

To determine

The slope of function $Y=3X+5\text{ for }0\le X\le 5$ and to graph it.

Explanation of Solution

Given information:

  $Y=3X+5\text{ for }0\le X\le 5$

The equation of straight line is given by:

  $\begin{array}{l}Y=mx+c\\ \text{Where,}\\ \text{m}\text{=}\text{slope}\\ \text{c}\text{=}\text{intercept}\end{array}$

Now,

The equation of straight line is $Y=mx+c$ .

Comparing the both the equation, the following is derived:

m = 3 and c = 5

Hence, the slope of the given function is 3.

The graph of the above function graph is shown below: