Answer:
[tex] m = \boxed{10}, \: \: c = \boxed{0}[/tex]
Step-by-step explanation:
[tex]y = 10x \\ \\ y = 10x + 0 \\ \\ equating \: it \: with \\ y = mx + c \\ \\ m = \boxed{10} \: \: c = \boxed{0}[/tex]