Answer:
y = 1/2x -3
Step-by-step explanation:
The slope of the given line is the x-coefficient: -2. The slope of the perpendicular line is the negative reciprocal of this:
-1/(-2) = 1/2
The only answer choice with a slope of 1/2 is ...
y = 1/2x -3
Since the lines have the same slopes, hence they are parallel lines
<h3>How to determine the relationship between lines</h3>
We can determine the relations by knowing the slopes of the line
For the line with coordinates (9, –5) and (5, –2)
Slope = -2+5/5-9
Slope = -3/4
For the line with coordinates (–4, –2) and (–8, 1)
Slope = 1+2/-8+4
Slope = -3/4
Since the lines have the same slopes, hence they are parallel lines
Learn more on parallel lines here: brainly.com/question/16742265
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