Marco is trying to determine whether the following two lines are parallel.y=23x+7 y=23x−5 Which statement correctly describes the approach Marco should take based on the best reasoning?Statement #1: Marco says he should verify that the lines have the same slope but different y-intercepts.Statement #2: Marco says he should verify that the lines have the same y-intercept but different slopes.(1 point)Statement # describes the approach Marco should take based on the best reasoning.

Question

Marco is trying to determine whether the following two lines are parallel.y=23x+7 y=23x−5 Which statement correctly describes the approach Marco should take based on the best reasoning?Statement #1: Marco says he should verify that the lines have the same slope but different y-intercepts.Statement #2: Marco says he should verify that the lines have the same y-intercept but different slopes.(1 point)Statement # describes the approach Marco should take based on the best reasoning.

GPT-4o mini · Answer

To determine whether the two lines are parallel, Marco should focus on their slopes. Two lines are parallel if they have the same slope but different y-intercepts.

Given the equations of the lines:

\( y = 23x + 7 \)
\( y = 23x - 5 \)

Both lines have a slope of 23. Since they have the same slope but different y-intercepts (\(7\) and \(-5\)), the lines are indeed parallel.

Therefore, Statement #1 is correct: "Marco says he should verify that the lines have the same slope but different y-intercepts."