Use the result, "the set of parametric equations for the line passing through $\left( x _ { 1 } , y _ { 1 } \right)$ and $\left( x _ { 2 } , y _ { 2 } \right)$ is $x = x _ { 1 } + t \left( x _ { 2 } - x _ { 1 } \right) , y = y _ { 1 } + t \left( y _ { 2 } - y _ { 1 } \right) ^ { n }$ to find a set of parametric equations for the line passing through $( 0,0 )$ and $( 9 , - 8 )$.
A) $x = - \frac { 9 } { 8 } t + 9 , y = - \frac { 8 } { 9 } t + 8$
B)$x = - \frac { 9 } { 8 } t + 9 , y = - \frac { 8 } { 9 } t - 8$
C) $x = 9 + t , y = - 8 + t$
D) $x = 9 t , y = - 8 t$
E) $x = 9 - t , y = - 8 - t$

Question

Use the result, "the set of parametric equations for the line passing through $\left( x _ { 1 } , y _ { 1 } \right)$  and $\left( x _ { 2 } , y _ { 2 } \right)$ is $x = x _ { 1 } + t \left( x _ { 2 } - x _ { 1 } \right) , y = y _ { 1 } + t \left( y _ { 2 } - y _ { 1 } \right) ^ { n }$ to find a set of parametric equations for the line passing through $( 0,0 )$ and $( 9 , - 8 )$.
A) $x = - \frac { 9 } { 8 } t + 9 , y = - \frac { 8 } { 9 } t + 8$
B)$x = - \frac { 9 } { 8 } t + 9 , y = - \frac { 8 } { 9 } t - 8$
C) $x = 9 + t , y = - 8 + t$
D) $x = 9 t , y = - 8 t$
E) $x = 9 - t , y = - 8 - t$

Quizplus · Accepted Answer

The correct parametric equations for a line passing through points (0,0) and (9,-8) using the given formula are $x = 0 + t(9 - 0) = 9t$ and $y = 0 + t(-8 - 0) = -8t$.

Use the Result, "The Set of Parametric Equations for the Line