Answer:
The slope intercept form of the required line is
.
Step-by-step explanation:
If a line is defined as
... (1)
Then the slope of the line is

The given equation is
.... (2)
From (1) and (2), we get

The slope of the line is

The slope of parallel line is same. So, the slope of required line is -3/2.
The slope intercept form of a line is

Where, m is slope and b is y-intercept.
The slope of required line is -3/2 and y-intercept is at (0,0).


Therefore the slope intercept form of the required line is
.