Answer
point-slope form: $y-4=-2(x-3)$
slope-intercept form: $y=-2x+10$
Work Step by Step
Step 1. Using the figure given in the exercise, we can see that line L is parallel to line $y=-2$; thus, we have its slope $m=-2$ .
Step 2. As the line passes the point $(3,4)$, we can write the line equation in point-slope form as $y-4=-2(x-3)$
Step 3.The above equation can be rewritten in slope-intercept form as $y=-2x+10$