The equation of the line that is not parallel to others is (C) 2x-3y= -1
<h3>How to determine the equation of the line is not parallel?</h3>
From the question, we have the following parameters that can be used in our computation:
A) 3x-2y=5
B) -3x+2y=9
C) 2x-3y= -1
D) -3x+2y=8
Make y the subject in equations
So, we have the following representation
A) y = 3/2x - 5/2
B) y = 3/2x + 9/2
C) y= 2/3x + 1/3
D) y = 3/2x + 4
As a general rule of linear equations
Parallel lines have equal slope
A linear equation is represented as
y = mx + c
Where
slope = m
Using the above as a guide, we have the following:
A) y = 3/2x - 5/2 ⇒ slope = 3/2
B) y = 3/2x + 9/2 ⇒ slope = 3/2
C) y= 2/3x + 1/3 ⇒ slope = 2/3
D) y = 3/2x + 4 ⇒ slope = 3/2
Hence, the line that is not parallel is (c)
Read more about linear equations at
brainly.com/question/2030026
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