SOLUTION: Find equations for 4 lines, none of them horizontal or vertical, which intersect at the vertices of a rectangle. What is true about the slopes of these lines? Thank you!

Algebra ->  Graphs -> SOLUTION: Find equations for 4 lines, none of them horizontal or vertical, which intersect at the vertices of a rectangle. What is true about the slopes of these lines? Thank you!      Log On


   

Question 260448: Find equations for 4 lines, none of them horizontal or vertical, which intersect at the vertices of a rectangle. What is true about the slopes of these lines? Thank you!
Answer by jim_thompson5910(35256) About Me  (Show Source):
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Remember that the definition of a rectangle is a quadrilateral which has 4 right angles (ie 4 ninety degree angles). Because these lines intersect at the vertices, and the intersections form 90 degree angles, the lines are perpendicular at the vertices. Also, remember that perpendicular slopes are negative reciprocals of one another. For example, if you have a slope of 1%2F2, the perpendicular slope is -2%2F1=-2