The line that is perpendicular to the given line, is:
y = (-3/2)*x + 7
Remember that two lines are perpendicular if the slope of one is equal to the opposite of the inverse of the other slope.
Here we start with the line:
y = (2/3)*x + 3
So the slope is 2/3.
The opposite of the inverse of that would be -(3/2). Then any line with a slope of -3/2 will be perpendicular to the given line. So we conclude that the correct option is:
Y = -(3/2)x+7
If you want to learn more about perpendicular lines:
https://brainly.com/question/7098341
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