SOLUTION: Question 1; Write the equations of two lines who's graphs are perpendicular to one another. Question 2; on a map, Sandusky st. Passes through coordinates( 2,-1) and (4,8). Pennsy

Algebra ->  Linear-equations -> SOLUTION: Question 1; Write the equations of two lines who's graphs are perpendicular to one another. Question 2; on a map, Sandusky st. Passes through coordinates( 2,-1) and (4,8). Pennsy      Log On


   

Question 694550: Question 1; Write the equations of two lines who's graphs are perpendicular to one another.
Question 2; on a map, Sandusky st. Passes through coordinates( 2,-1) and (4,8). Pennsylvania ave. intersects Sandusky st. And passes through coordinates (1,3) and (6,2) are these streets perpendicular explain?
*ANYTHING HELPS* :)
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Perpendicular lines have negative inverse/reciprocal slopes.
Take a slope of 2, the negative inverse will be -1%2F2
A simple answer for two lines are
highlight_green%28y+=+2%29 and highlight_green%28x+=-1%2F2%29, such that the first equation is a horizontal line through y=2 and the second equation is a vertical line through x = -1%2F2
...
Given the points (2,-1) and (4,8), the slope is %28-1-8%29%2F%282-4%29+=+-9%2F-2+=+9%2F2
With the points (1, 3) and (6, 2), the slope is %283-2%29%2F%281-6%29+=+1%2F-5+=+-1%2F5
No, these streets are not perpendicular, becuase their slopes are not negative inverses.
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