Question

Which best describes the relationship between Line 1 and Line 2?
Line I passes through (-3, 6) and (-7, 11)
Line 2 passes through (1, 8) and (-4, 4)
a. perpendicular
b. They are the same line.
c. parallel
d. neither perpendicular nor parallel

Answer 1

9514 1404 393

Answer:

  a.  perpendicular

Explanation:

A graph shows the lines have opposite reciprocal slopes (rise/run), so the lines are perpendicular.

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Using the slope formula, the slope of the first line is ...

  m = (y2 -y1)/(x2 -x1)

  m = (11 -6)/(-7 -(-3)) = 5/-4 = -5/4

The slope of the second line is ...

  m = (4 -8)/(-4 -1) = -4/-5 = 4/5 . . . . . opposite reciprocal to the first slope

Answer 2

Answer:

A. perpendicular

Explanation:

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