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