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Serjik [45]
3 years ago
8

Line b passes through points (9, 1) and (1, 6). Line c passes through points (10, 7) and (2, 12). Are line b and line c parallel

or perpendicular?
Mathematics
1 answer:
andre [41]3 years ago
8 0
<h2>Answer:  Lines b & c are parallel.⇄</h2>

Step-by-step explanation:

  • When lines are perpendicular, the product of their slope is -1 (the slopes are negative reciprocal).
  • When lines are parallel, they have the same slope.

Slope = ( y₂ - y₁) / (x₂ - x₁)

Slope of Line b = ( 6 - 1 ) ÷ ( 1 - 9 )

                         =  5  ÷  (- 8)

                         =   - ⁵/₈

Slope of Line c =  ( 12 - 7 )  ÷  ( 2 - 10 )

                         =  - ⁵/₈

⇒ Line b ║ Line c

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Directed numbers are numbers with either a <u>negative</u> or <u>positive </u>sign, which shows their direction with respect to the <em>number line.</em>

In the given question, the <u>distance</u> between points D and E is <em>9 units</em>. So that <em>dividing</em> 9 units in the ratio of 5 to 6, we have;

\frac{5}{6} x 9   = \frac{45}{6}

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Lamont cotton is 4% commission on the first 10,000 of monthly sales and 10% on all sales over 10,000.

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