Question

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

Answer 1

∴ 3x + 2y = 5

2y = −3x + 5

`y = (-3x)/2 + 5/2` 

Slope of this line = `(-3)/2`

∴ x + 2y = 1

2y = −x + 1

`y = (-1x)/2 + 1/2` 

Slope of this line = `(-1)/2`

Product of slopes of the two lines = `(-3)/2 ≠ (-1)/2`

So, the lines are not parallel to each other.