(a) Show that the parametric equations x = x1 + (x2 x1)t y = y1 +...

Question:

(a) Show that the parametric equations x = x1 + (x2 – x1)t y = y1 + (y2 – y1) t where 0 < t < 1, describe the line segment that joins the points P1(x1, y1) and P2(x2, y2).
(b) Find parametric equations to represent the line segment from (– 2, 7) to (3, –1).