Chapter 4.1, Problem 52HP

To determine

To Explain: The required information from the given graph to formulate the equation.

Answer to Problem 52HP

The equation is $x+2y-8=0$

Explanation of Solution

Given information: Graph of the relevant data.

In the graph we can see that when $x=0\text{than}y=4$ and $x=8\text{than}y=0$ .

Thus, two point are sufficient to formulate the required equation and calculations are done as below-

  $\begin{array}{l}y-4=\frac{0-4}{8-0}(x-0)\\ y-4=\frac{-4}{8}(x)\\ y-4=\frac{-x}{2}\\ 2y-8=-x\\ x+2y-8=0\end{array}$