Rewrite this equation using cartesian coordiantes $x$ and $y$

Question

In this question the $x$ and $y$ coordinates are given, however I do not know what to substitute in

$x=5t-2\;\quad y=-5t+7$

So far I have rearranged for $t$

$x+2=5t$

$\dfrac{x+2}5=t$

therefore would the next step by $y=-5\left(\dfrac{x+2}5\right)+7$ ?

Answer 1

$x=5t-2$

$x+2=5t$

$\dfrac{x+2}5=t$

$y=-5t+7$

$y=-5\left(\dfrac{x+2}5\right)+7$

$y=-(x+2)+7$

$y=-x-2+7$

$y=-x+5$