Q. 39 - Precalculus Enhanced with Graphing Utilities

Question

Find an equation of the line L.  

Step-by-Step Solution

Answer

 The equation of the line is $x+y=2$

Step 1. Given Information

The given graph is 

Step 2. Explanation

Substitute the values in the general form of equation of slope- line format.

$$\begin{gathered} y-y_1=m(x-x_1) \\ y-y_1=\frac{y_2-y_1}{x_2-x_2}(x-x_1) \\ y-1=\frac{1-3}{1-(-1)}(x-1) \\ y-1=-1(x-1) \\ y-1=-x+1 \\ x+y=2 \end{gathered}$$