(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). This answer has not been graded yet. (b) Find parametric equations to represent the line segment from (−2, 8) to (3, −2). (Enter your answer as a comma-separated list of equations. Let x and y be in term

Step-by-step explanation:

a) First, we must check that at t =0, we get the point and at t=1 we get  . Note that

Since in this case are all constants, we have that x and y are of the from for appropiate a,b,c,d. This functions are polynomials of degree one on the variable t, hence are continous over the interval . This means, that they map continously al the points that lay on the line segment that joins and .

b) We have that , so the parametric equations are

Note that if t =0, we get the point (-2,8) and if t=1 we get

10

step-by-step explanation:

c

step-by-step explanation: