The vertical and horizontal positions of a zip line cable are represented by the following parametric equations. Rewrite the parametric equations by eliminating the parameter. (1 point) Responses Image with alt text: y equals negative one third x plus start fraction 19 over 3 end fraction Image with alt text: y equals 19 minus 3 x Image with alt text: y equals 2 x plus 9

1 answer

To eliminate the parameter, we can set x equal to the parameter t in the parametric equations:

1. y = -1/3(2t) + 19/3
y = -2/3t + 19/3

2. y = 19 - 3(2t)
y = 19 - 6t

3. y = 2(2t) + 9
y = 4t + 9

So, the parametric equations can be rewritten as:
1. y = -2/3t + 19/3
2. y = 19 - 6t
3. y = 4t + 9
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