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Sati [7]
2 years ago
5

Are the following lines parallel, perpendicular, or neither?

Mathematics
1 answer:
natta225 [31]2 years ago
8 0

Answer:

Perpendicular

Step-by-step explanation:

Parallel lines mean lines that have same slope but since both equations have different slopes which you can check by looking at m-value in y = mx + b. In this case m1 or first slope is -4/3 and m2 or second slope is 3/4.

Perpendicular means that both lines are reciprocal to each other. This means the perpendicular condition is or satisfies \displaystyle \large{m_1m_2 = -1 \longrightarrow m_1 = -\frac{1}{m_2} \longrightarrow m_2 = -\frac{1}{m_1}}

We have m1 = -4/3 and m2 = 3/4.

Therefore, -4/3 * 3/4 = -1 thus both lines are perpendicular to each other as it satisfies m1m2 = -1 condition.

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