One line passes through the points $$ (-3,-1) $$ and $$ (1,-9) $$. Another line passes through points $$ (1,4) $$ and $$ (5,6) $$. Are the lines parallel, perpendicular, or neither? Choose 1 answer: (A) Parallel (B) Perpendicular (C) Neither

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Determine the slope of the first line that passes through $$ (-3, -1) $$ and $$ (1, -9) $$:

$$
m_1 = \frac{-9 - (-1)}{1 - (-3)} = \frac{-9 + 1}{1 + 3} = \frac{-8}{4} = -2.
$$

Determine the slope of the second line that passes through $$ (1, 4) $$ and $$ (5, 6) $$:

$$
m_2 = \frac{6 - 4}{5 - 1} = \frac{2}{4} = \frac{1}{2}.
$$

To check if the lines are perpendicular, their slopes must satisfy:

$$
m_1 \cdot m_2 = -1.
$$

Compute:

$$
-2 \cdot \frac{1}{2} = -1.
$$

Since the product is $$-1$$, the lines are perpendicular.

The correct answer is $$ \textbf{(B) Perpendicular} $$.
The lines are perpendicular.

One line passes through the points and . Another
line passes through points and .
Are the lines parallel, perpendicular, or neither?
Choose 1 answer:
(A) Parallel
(B) Perpendicular
© Neither

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One line passes through the points and . Another line passes through points and . Are the lines parallel, perpendicular, or neither? Choose 1 answer: (A) Parallel (B) Perpendicular © Neither