Line segments Find a parametric description of the line

Solution 31EStep 1:Given line segment is P( 0,0) and Q ( 2, 8). Now , we have to find the parametric equations .The parametric representation of a line ; Given two points ) and the point (x,y) is on the line determined by ) and if and only if there is a real number ‘t’ such that x = (1- t)+ t and y = (1- t)+t . Here = 0 , = 2 , =0 , and = 8. Assume there is a real number ‘t’ such that x = (1- t)+ t and y = (1- t)+t . Put = 0 , = 2 in x = (1- t)+ t we get , X = (1 - t) (0) +t( 2) = 0 +2t = 2t Therefore , x = 2t.Put =0 , = 8 in y = (1- t)+t we get , Y = (1 - t) (0) + t (8) = 0 + 8t = 8t Therefore , y = 8t .