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

Question

3 years ago

8

or perpendicular?

1 answer:

andre [41] · Answer 1 · 2022-09-11T23:28:17+03:00

<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