Question

Which ordered pairs could be points on a line parallel to the line that contains (3, 4) and (–2, 2)?

Answer 1

Answer: (-1,1) and (-6,-1)

(1,0) and (6,2)

(3,0) and (8,2)

Step-by-step explanation:

Answer 2

The equation of the line containing the points (3, 4) and (-2, 2) is:
 $y-yo = m (x-xo)$
 Where,
 $m = (y2-y1) / (x2-x1) m = (2-4) / (- 2-3)$
 $m = (-2)/(-5) m = 2/5$
 $(xo, yo) = (-2, 2)$
 Substituting values:
 $y-2 = (2/5) (x - (- 2))$
 $y-2 = (2/5) (x + 2) y = (2/5) x + 4/5 + 2 y = (2/5) x + 14/5$
 A parallel line is one that has the same slope:
 $y = (2/5) x$ 
 An ordered pair that passes through this line is (0, 0).
 Answer:
 A parallel line is:
 $y = (2/5) x$
 an ordered pair that goes through the parallel line is:
 (0, 0)