Using translation and slope concepts, we have that:
- Line MN was translated down 4 units and right 8 units to create line M'N'.
- The two lines have the same slope of -2, thus, they are parallel.
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- For line MN, the points are N(-6,8) and M(-2,0).
- For line M'N', the points are (2,4) and (6, -4).
- [tex]8 - 4 = 0 - (-4) = 4[/tex], thus down 4 units.
- [tex]-6 - 2 = -2 - 6 = 8[/tex], thus right 8 units.
Line MN was translated down 4 units and right 8 units to create line M'N'.
- Two lines are parallel if they have the same slope.
- Given two points of a line, the slope is given by change in y divided by change in x.
The slope of line MN is:
[tex]m = \frac{0 - 8}{-2 - (-6)} = \frac{-8}{4} = -2[/tex]
The slope of line M'N' is:
[tex]m = \frac{-4 - 4}{6 - 2} =\frac{-8}{4} = -2[/tex]
The two lines have the same slope of -2, thus, they are parallel.
A similar problem is given at https://brainly.com/question/4521517
