Solution:

$\begin{aligned} P_{x} &=\left[\begin{array}{ll}{3} & {10}\end{array}\right]\left[\begin{array}{cc}{-1} & {1} \\ {1} & {0}\end{array}\right]\left\{\frac{t}{1}\right\} \\ &=\left[\begin{array}{cc}{3} & {10}\end{array}\right]\left[\begin{array}{cc}{-t} & {1} \\ {t} & {0}\end{array}\right] \\ P_{x} &=3(-t+1)+10 \\ P_{x} &=7 t+3 \end{aligned}$

$P_{y}=\left[\begin{array}{ll}{4} & {7}\end{array}\right]\left[\begin{array}{cc}{-1} & {1} \\ {1} & {0}\end{array}\right]\left\{\frac{t}{1}\right\}$

$P_{y}=4(-t+1)+7 t$

$P_{y}=3 t+4$

$\begin{array}{|c|c|c|c|c|c|c|}\hline t \rightarrow & {0} & {0.2} …