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)

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)