Question

Find an equation of the line L.

Short answer

The equation of line is$x-y=-2$

Step-by-step solution

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.

role="math" localid="1645947612598" $$\begin{gathered} y-y_1=m(x-x_1) \\ y-1=1[x-(-1\left)\right] \\ y-1=x+1 \\ x-y=-2 \end{gathered}$$