Consider the parabola y $=4$x $$ x$2.$

$($a$)$ Find the slope m of the tangent line to the parabola at the point $(1,3).$

$($i$)$ using this definition: The tangent line to the curve

y $=$ f$($x$)$

at the point

P$($a$,$ f$($a$))$

is the line through P with slope