If adding two linear equations gives $x = 5$ and subtracting them gives $y = 5$ , then the graphs of those equations are perpendicular.

Question

Quizplus · Accepted Answer

The sum of the slopes of perpendicular lines is -1. Adding the two equations gives $x = 5$, which means the sum of the slopes is 0. Subtracting the two equations gives $y = 5$, which means the difference of the slopes is 0. Therefore, the slopes of the two lines are 0 and -1, which means the lines are perpendicular.

If Adding Two Linear Equations Gives x=5x = 5x=5 And Subtracting Them Gives

If Adding Two Linear Equations Gives $x = 5$ And Subtracting Them Gives