Is the line 3x + 2y = 5 parallel to the line x + 2y = 1?

Given lines,

⇒ 3x + 2y = 5 and x + 2y = 1

⇒ 2y = -3x + 5 and 2y = -x + 1

⇒ y = $-\dfrac{3}{2}x + \dfrac{5}{2}$ and y = $-\dfrac{1}{2}x + \dfrac{1}{2}$

Comparing above equations with y = mx + c we get,

Slope of 1st line = $-\dfrac{3}{2}$

Slope of 2nd line = $-\dfrac{1}{2}$

Since,

Slope of 1st line ≠ Slope of 2nd line

Hence, the lines 3x + 2y = 5 and x + 2y = 1 are not parallel to each other.