16. Choose the correct answer. Determine which lines are parallel and/or perpendicular.

To determine if the lines are parallel or perpendicular, we need to find the slopes of the lines from the given points and compare them.Step 1: Find the slope of the red line (h).The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula: For the red line (h), we have the points (-1, -1) and (0, 0). Let's use these points to find the slope (m_h): Step 2: Find the slope of the blue line (g).For the blue line (g), we have the points (0, 0) and (1, -1). Let's use these points to find the slope (m_g): Step 3: Compare the slopes.The slope of the red line (h) is 1, and the slope of the blue line (g) is -1.Parallel lines have the same slope, but the slopes of h and g are not the same, so they are not parallel.Perpendicular lines have slopes that are negative reciprocals of each other. The negative reciprocal of 1 (the slope of h) is -1, which is the slope of g. Since the slopes are negative reciprocals, the lines are perpendicular.Answer: The lines are perpendicular.