Answer:
Option A. 
Step-by-step explanation:
step 1
Find the slope of the line shown in the graph
The given line pass through the points (0,3) and (5,-1) (see the graph)
The formula to calculate the slope between two points is equal to

substitute the values



step 2
Find the slope of the line perpendicular to the line shown in the graph
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

we have
---> slope of the line shown in the graph
substitute

therefore

step 3
Find the equation of the line that passes through the point (0,0) and is perpendicular to the given line in the graph
we have


Remember that
If a line pass through the origin, then represent a proportional relationship
The linear equation is equal to 
substitute
