Chapter 5.5, Problem 29P

For each graph, find the $x$- and $y$-intercepts. Then write an equation in standard form using integers.

To determine

To find: The equation of the line given in the below graph:

  

Answer to Problem 29P

From the given graph,

x -intercept: $a=2$

y -intercept: $b=1$

The standard form of the given equation is $x+2y=2$ .

Explanation of Solution

Given information:

The given graph is

  

From the given graph,

x -intercept: $a=2$

y -intercept: $b=1$

So the equation in intercepts form is

  $\begin{array}{l}\frac{x}{a}+\frac{y}{b}=1\\ \Rightarrow \frac{x}{2}+\frac{y}{1}=1\end{array}$

Now, rewriting the equation in standard form as follows:

  $\begin{array}{l}\frac{x}{2}+\frac{y}{1}=1\\ \Rightarrow x+2y=2\end{array}$

Conclusion:

Therefore, the standard form of the given equation is $x+2y=2$ .