Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. The lines with equation and , where and , are perpendicular to each other.
A) True. The slopes of the lines are and respectively; , , so .
B) False. The slopes of the lines are and respectively; , , so .

Question

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. The lines with equation  and  , where  and  , are perpendicular to each other.
A) True. The slopes of the lines are and respectively; , , so . 
B) False. The slopes of the lines are and respectively; , , so .

Quizplus · Accepted Answer

To determine if two lines are perpendicular, we need to check if their slopes are negative reciprocals of each other (i.e. their product is -1). The slopes of the given lines are 11eab448_e890_5740_acdb_03a3d7756f3c_TB6027_11 and 11eab448_e890_5741_acdb_fbc33075d460_TB6027_11 , and their product is -1, indicating that they are perpendicular to each other.

Determine Whether the Statement Is True or False