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Math·Algebra·Linear functions

hard

For the linear function $p$, $p(c)=-2$, where $c$ is a constant, $p(5)=34$, and the slope of the graph of $y=p(x)$ in the $xy$-plane is $6$. For the linear function $t$, $t(c)=-4$ and $t(6)=52$. What is the slope of the graph of $y=t(x)$ in the $xy$-plane?

A

$-1$

B

$4$

C

$6$

D

$8$