wilberantonio1p8izsr wilberantonio1p8izsr
  • 23-10-2018
  • Mathematics
contestada

line p contains the points (9,7) and (13,5). which equation represents a line perpendicular to line p?

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altavistard
altavistard altavistard
  • 23-10-2018

Answer:

y = 2x + 3

Step-by-step explanation:

As we go from (9,7) to (13,5), x increases by 4 and y decreases by 2.  Thus, the slope of line p is m = rise/run = -2/4, or m = -1/2.

A line perpendicular to p will have a slope that is the negative reciprocal of the slope of p:  -1 / {-1/2}, or m = 2.

One example of such a perpendicular line is y = 2x + 3.  Here I borrowed the slope m and invented the y-intercept, b.


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