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From's Newton's second law of motion:

F=ma

or, F=m(v-u)/t

or, F=(mv - mu)/t

or,Ft=mv - mu

where F=force, m=mass, v=Initial Velocity, v=Final Velocity, t=time

The above equation could be called Newton's first law of motion when u=v and F=0. So it could be concluded that a body of mass m would continue in a state of uniform motion(i.e it would move with Initial Velocity u) over a time t seconds

such that no external force acts on it(as F=0). When the body is at rest(i.e when u=v=0) then also it would remain at rest over a time t.
By second law of motion, F is directly proportional to m, the mass and acceleration "a".

F = k .m .a

where k is the constant of proportionality.

a = F / k .m.

when a = 0,

F = 0 as m cannot be infinite.

hence, if a body is at rest or in uniform motion, a = 0. thus the body remains in its state of rest or uniform motion.

which is the first law.

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