Geometry

Examine the two distinct lines defined by the following two equations in slope-intercept form.

line ℓ: y=34x+6
line k: y=34x−7
Are lines ℓ and k parallel? Justify your response.

1.Yes, lines ℓ and k are parallel because their slopes are equal.

2.No, lines ℓ and k are not parallel because their slopes are not equal.

3.No, lines ℓ and k are not parallel because their slopes are proportional.

4.Yes, lines ℓ and k are parallel because their slopes are proportional.

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  1. m = 34 for both. Same slope, m, means parallel

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    Damon

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