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
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.
The rectangular coordinate can be determined by eliminating t.
Given parametric equations are:
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