The curve represented by the parametric equations $x=5-t^{3}$ and $y=6+t^{3}$ is
A)A curve passing through the point (5, 6)that is concave up to the left of the point and concave down to the right of it.
B)A curve passing through the point (5, 6)that is concave down to the left of the point and concave up to the right of it.
C)A straight line passing through the point (5, 6)with slope -1.
D)A straight line passing through the point (5, 6)with slope 1.

Question

Quizplus · Accepted Answer

The parametric equations can be combined to form $y = 6 + (5-x)$, which simplifies to $y = 11 - x$, a straight line with slope -1 passing through the point (5, 6).

The Curve Represented by the Parametric Equations x=5−t3x=5-t^{3}x=5−t3 And y=6+t3y=6+t^{3}y=6+t3 Is A)A Curve Passing Through the Point (5, 6)that Is

The Curve Represented by the Parametric Equations $x=5-t^{3}$ And $y=6+t^{3}$ Is
A)A Curve Passing Through the Point (5, 6)that Is