Chapter 5.4, Problem 9P

Write an equation in point-slope form for each line.

To determine

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

  

Answer to Problem 9P

  $y+3=3(x-1)$

Explanation of Solution

Given information:

The given graph is

  

From the given graph, it is observed that the line passes through the points $(1,-3)$ and $(3,3)$ .

So, the slope of the line is

  $\begin{array}{l}m=\frac{\Delta y}{\Delta x}=\frac{3-(-3)}{3-1}\\ \Rightarrow m=\frac{6}{2}=3\end{array}$

Conclusion:

Therefore, the equation of the line in point-slope form would be

  $\begin{array}{l}y-(-3)=3(x-1)\\ \Rightarrow y+3=3(x-1)\end{array}$