Write the equation of the line L satisfying the given geometric conditions.

L has y-intercept (0, -3) and is parallel to the line with equation
y = 2/3x + 1.

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To find the equation of a line parallel to another line, we need to use the same slope as the given line.

Let's start by finding the slope of the given line, y = 2/3x + 1. The equation is in the form y = mx + b, where m is the slope. In this case, the slope is 2/3.

Since the line we want to find is parallel to the given line, it will have the same slope of 2/3.

Now, we have the slope and the y-intercept of the new line. The y-intercept is (0, -3).

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

So, the equation of the line L that satisfies the given conditions is:

y = (2/3)x - 3.