Find the constants $k$ and $m$ in the function below such that the function $f(x)$ is continuous in the entire real numberline
$$ f(x)= \begin{cases} 2 & \text{ if }x<_3\\ kx+m & \text{ if }3<x<5\\ 15 & \text{ if }5<x \end{cases} $$
Find the constants $k$ and $m$ in the function below such that the function $f(x)$ is continuous in the entire real numberline
$$ f(x)= \begin{cases} 2 & \text{ if }x<_3\\ kx+m & \text{ if }3<x<5\\ 15 & \text{ if }5<x \end{cases} $$
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