Find a set of parametric equations for the rectangular equation $$y = 3 x - 5$$
A) $x = t - 1 , y = 3 t + 2$
B) $x = t , y = 3 t - 5$
C) $x = t , y = 4 t ^ { 2 } - t - 5$
D) $x = t + 1 , y = 3 t - 2$
E) $x = t - 1 , y = 4 t ^ { 2 } - 9 t - 6$

Question

Find a set of parametric equations for the rectangular equation $$y = 3 x - 5$$ 
A) $x = t - 1 , y = 3 t + 2$
B) $x = t , y = 3 t - 5$
C) $x = t , y = 4 t ^ { 2 } - t - 5$
D) $x = t + 1 , y = 3 t - 2$
E) $x = t - 1 , y = 4 t ^ { 2 } - 9 t - 6$

Quizplus · Accepted Answer

To convert the rectangular equation $y = 3x - 5$ into parametric equations, we can let $x = t$. Substituting $t$ for $x$ in the original equation gives $y = 3t - 5$, which matches option B.

Find a Set of Parametric Equations for the Rectangular Equation y=3x−5y = 3 x - 5y=3x−5

Find a Set of Parametric Equations for the Rectangular Equation $y = 3 x - 5$