Question

Asked Oct 31, 2019

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The question says:

"A pair of paraetric equations is given. a.) Sketch the curve represented by the parametric equations. b.) Find a rectangular-coordinate equation for the curve by eliminating the parameter."

x=6t-4, y=3t, t>=0

Step 1

To sketch the graph, the points (*x*, *y*) are to be determined for different *t* values and then the points are be plotted and joined.

The table of value for *x* and *y* is given by:

Hence the points are given by

Plotting the points:

From the points it is seen that they are on a straight line.

Step 2

b.

The rectangular coordinate can be determined by eliminating *t*.

Given parametric equations are:

...

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