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Anna007 [38]
3 years ago
10

Dejah is proving that perpendicular lines have slopes that are opposite reciprocals. She draws line s and labels two points on t

he line as (−a, 0) and (0, b).
Enter the answers, in simplest form, in the boxes to complete the proof.

Mathematics
2 answers:
NISA [10]3 years ago
6 0

Answer:

  • b/a; (b, 0); -a/b; -1

Step-by-step explanation:

<u>Given:</u>

Slope of Line S - (b - 0)/(0 - (-a)) = b/a

<u>Remember the clockwise rule:</u>

(-a, 0) → (0, a)

(0, b) → (b, 0)

Slope of line T - (0- a)/(b - 0) = -a/b = -a/b

The product of slopes: b/a × (-a/b) =  -1

So, finally, our answer is:

  • b/a; (b, 0); -a/b; -1

Carry On Learning!

rusak2 [61]3 years ago
5 0

Answer:

  • b/a; (b, 0); -a/b; -1

Step-by-step explanation:

<u>Slope of line s:</u>

  • (b - 0)/(0 - (-a)) = b/a

<u>Rotation 90 clockwise rule:</u>

  • (-a, 0) → (0, a)
  • (0, b) → (b, 0)

<u>The slope of line t:</u>

  • (0- a)/(b - 0) = -a/b = -a/b

<u>The product of slopes:</u>

  • b/a*(-a/b) = -1
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