Answer
point-slope form: $y-2=\frac{1}{2}(x+1)$
slope-intercept form: $y=\frac{1}{2}x+\frac{5}{2}$
Work Step by Step
Step 1. Using the figure given in the exercise, we can see that line L is perpendicular to line $y=-2x$; thus, we have its slope $m=\frac{1}{2}$
Step 2. As the line passes the point $(-1,2)$, we can write the line equation in point-slope form as $y-2=\frac{1}{2}(x+1)$
Step 3.The above equation can be rewritten in slope-intercept form as $y=\frac{1}{2}x+\frac{5}{2}$
