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

1. Calculate the slope of the first line passing through \( (-7,5) \) and \( (-1,-3) \): The formula for slope is \[ m = \frac{y_2 - y_1}{x_2 - x_1}. \] For the first line: \[ m_1 = \frac{-3 - 5}{-1 - (-7)} = \frac{-8}{6} = -\frac{4}{3}. \] 2. Calculate the slope of the second line passing through \( (0,3) \) and \( (3,-1) \): Again, using the slope formula: \[ m_2 = \frac{-1 - 3}{3 - 0} = \frac{-4}{3} = -\frac{4}{3}. \] 3. Compare the slopes: Since \[ m_1 = m_2 = -\frac{4}{3}, \] the lines have the same slope. When two lines have the same slope, they are parallel. **Answer: (A) Parallel**