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antiseptic1488 [7]
3 years ago
15

Which equations are perpendicular to the line that passes through (2,1) and (3,4)

Mathematics
1 answer:
REY [17]3 years ago
5 0

9514 1404 393

Answer:

  • y=(-1/3)x+6
  • y=(-1/3)x+10

Step-by-step explanation:

The slope of the given line can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (4 -1)/(3 -2) = 3/1 = 3

The slope of the perpendicular line is the opposite reciprocal of this:

  perpendicular slope = -1/m = -1/3

__

Choices (c) and (d) have x-coefficients that are -1/3. Those are the perpendicular lines.

  • y=(-1/3)x+6
  • y=(-1/3)x+10

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