Question
Is the line 3x + 2y = 5 parallel to the line x + 2y = 1?
✓
Answer
∴ 3x + 2y = 5
2y = − 3x + 5
$y=\frac{-3 x}{2}+\frac{5}{2}$
Slope of this line $=\frac{-3}{2}$
∴ x + 2y = 1
2y = − x + 1
$y=\frac{-1 x}{2}+\frac{1}{2}$
Slope of this line $=\frac{-1}{2}$
Product of slopes of the two lines $=\frac{-3}{2} \neq \frac{-1}{2}$
So, the lines are not parallel to each other.
2y = − 3x + 5
$y=\frac{-3 x}{2}+\frac{5}{2}$
Slope of this line $=\frac{-3}{2}$
∴ x + 2y = 1
2y = − x + 1
$y=\frac{-1 x}{2}+\frac{1}{2}$
Slope of this line $=\frac{-1}{2}$
Product of slopes of the two lines $=\frac{-3}{2} \neq \frac{-1}{2}$
So, the lines are not parallel to each other.
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