Question

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). draw the triangle with vertices a(1, 1), b(5, 3), c(1, 7). find the parametrization, including endpoints, and sketch to check. (enter your answers as a comma-separated list of equations. let x and y be in terms of t.)

Answer 1

given: 
x = x1 + (x2 â’ x1)t,
 y = y1 + (y2 â’ y1)t where 0 ≤ t ≤ 1  
 vertices of triangle a(1, 1), b(5, 3), c(1, 7). 
 solution: 
 for getting AB apply points a and b in the above equations,
 then x=1+4t , y=1+2t 
 for getting BC apply points b and c in the equations
 then x=5-4t, y=3+4t 
 for getting CA apply points c and a in the equations
 then x=1, y=7-6t 
 Answer:
 equations for AB is x=1+4t , y=1+2t
 equations for BC is x=5-4t, y=3+4t
 equations for CA is x=1, y=7-6t