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.
2 answers:
Answer:
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:
Carry On Learning!
Answer:
Step-by-step explanation:
<u>Slope of line s:</u>
<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>
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