Question

Which best describes the relationship between the line that passes through the points (9, –5) and (5, –2) and the line that passes through the points (–4, –2) and (–8, 1)?

A. same line
B. parallel
C. neither perpendicular nor parallel
D. perpendicular

Answer 1

B. Parallel

Explanation:

Let S1 be the slope of the line passing through the points

(9, - 5) and (5, - 2).

S1 = (- 2 -(- 5))/(5 - 9)

= (- 2 + 5)/(- 4)

= 3/(- 4)

S1 = - 3/4

Let S2 be the slope of the line passing through the points

(- 4, - 2) and (- 8, 1).

S2 = (1 -(- 2))/(-8 -(- 4))

= (1 + 2)/(- 8 + 4)

= 3/(-4)

S2 = - 3/4

Since,

the slope of two lines are same.

They are parallel.