\(a=\frac{v d v}{d x}\)

\(\frac{d v}{d x} \rightarrow\) slope

So, \(\frac{-4}{2}=-2\)

Intercept \(=+4\)

\(a \rightarrow\) Negative

So, \(a=\frac{v d v}{d x}\)

Relation between \(V\) and \(x\)

\(\Rightarrow \frac{v-4}{x-0}=\frac{0-4}{2-0}\)

\(\Rightarrow \frac{v-u}{x}=\frac{-4}{2}\)

\(\Rightarrow v-4=-2 x\)

\(\Rightarrow v=-2 x+4\)

\(\Rightarrow \frac{d v}{d x}=-2\)

\(\Rightarrow a=\frac{v d v}{d x}=(-2 x+4)(-2)\)

\(\Rightarrow a=4 x-8\)