Q. 44 - Precalculus Enhanced with Graphing Utilities

Question

Find an equation of the line L. 

Step-by-Step Solution

Answer

The equation of line is $x-y=-2$

Step 1. Given Information

The given graph is 

Step 2. Explanation

From the given figure, we know the line is perpendicular to line $y=-x$

On comparing with the equation of line, we get the slope of line as $-1$ and as lines are perpendicular so the slope of the other line will be negative reciprocal of $-1$ which is 1.

$$\begin{gathered} y-y_1=m(x-x_1) \\ y-1=1[x-(-1\left)\right] \\ y-1=x+1 \\ x-y=-2 \end{gathered}$$