SOLUTION: Line A goes through the points (2, #) and (-4, 21). Line B goes through the points (4, -1) and (10, 1). Are these two lines parallel, perpendicular, or neither?
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: Line A goes through the points (2, #) and (-4, 21). Line B goes through the points (4, -1) and (10, 1). Are these two lines parallel, perpendicular, or neither?
This question is from textbook
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I'm going to assume that you meant point (2,3) for the first point of line A since '#' is Shift-3.
:
Step 1 is to calculate the slopes of each line:
:
, and
:
:
Line A is parallel to line B if and only if , but so line A is NOT parallel to line B.
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Line A is perpendicular to line B if and only if . Since , line A IS perpendicular to line B.
:
And they look perpendicular to me.
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Extra credit: Write back and tell me which line, red or green, is Line A.
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