The parametric representation of a line) Given two points (x1, y1) and (x2, y2), the point (x, y) is on the line determined by (x1, y1) and (x2, y2) if and only if there is a real number t such that
x = (1 - t)x1 + tx2,
and y = (1 - t)y1 + ty2
here x1=2 ,x2= 5 y1=3,y2=4 putting these values
x=(1-t)2+t*5 =>x=3t+2
y=(1-t)3+t*4=>y=t+3
hence ans is C