One line passes through the points \( (-7,5) \) and \( (-1,-3) \). Another line passes through points \( (0,3) \) and \( (3,-1) \). Are the lines parallel, perpendicular, or neither? Choose 1 answer: (A) Parallel (B) Perpendicular (C) Neither

To determine the relationship between the two lines, we need to find the slopes of each line. For the first line passing through \( (-7,5) \) and \( (-1,-3) \): The slope \( m_1 \) is calculated as: \[ m_1 = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 5}{-1 - (-7)} = \frac{-8}{6} = -\frac{4}{3} \] For the second line passing through \( (0,3) \) and \( (3,-1) \): The slope \( m_2 \) is: \[ m_2 = \frac{-1 - 3}{3 - 0} = \frac{-4}{3} \] Since both slopes \( m_1 \) and \( m_2 \) are identical (\(-\frac{4}{3}\)), the lines are parallel. So the answer is: (A) Parallel