Q. 40 - Precalculus Enhanced with Graphing Utilities

Question

Find an equation of the line L.  

Step-by-Step Solution

Answer

The equation of the line is $y-1=\frac{1}{3}(x+1)$

Step 1. Given Information

The given graph is 

Step 2. Explanation

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

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