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Decide whether the pair of lines is parallel, perpendicular, or neither.
Ly: 2x + 3y = 8
L2:3x + 2y = 7
Choose the correct answer below.
A. The lines are neither parallel nor perpendicular.
B. The lines are perpendicular.
C. The lines are parallel.

Decide whether the pair of lines is parallel perpendicular or neither Ly 2x 3y 8 L23x 2y 7 Choose the correct answer below A The lines are neither parallel nor class=

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sophiew4

Answer:

A

Step-by-step explanation:

We can solve for y for both of the lines' equations to get the point-slope form.

L1: [tex]y=\frac{-2}{3} x+\frac{8}{3}[/tex]

L2:[tex]y=\frac{-3}{2}x+\frac{7}{2}[/tex]

So, the slopes of the two lines are [tex]\frac{-2}{3}[/tex] and [tex]\frac{-3}{2}[/tex].

Remember that parallel lines have the same slope, and perpendicular lines have opposite and reciprocal slopes. These slopes are reciprocal but not opposite.

Hope this helps!

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