The equation of the line parallel to 3x-2y is: 2y-3x=0
Given in the question:
Equation of the line parallel is: 3x-2y=0
Property: We know through the property of the slopes, that the slope of two parallel line are equal.
m1=m2
Let the slope of the given line be denoted as m1.
Then, from the equation:
3x-2y=0
3x=2y
y=3/2x+0
comparing it to the standard equation of a straight line: y=mx+c
we get,
m1=3/2
then from the property
m1=m2
Then, m2=3/2
Let the point be P(4,6)
The the equation of the straight line parallel to the line 3x-2y is:
y=mx+c
y-y1=m(x-x1)
y-6=3/2(x-4)
cross multiplying
2(y-6)=3(x-4)
2y-12=3x-12
2y-3x=12-12
2y-3x=0
Learn more about straight lines at:
brainly.com/question/27560536
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