The parametric equations x = x1 + (x2 − x1)t, y = y1 + (y2 − y1)t where 0 ≤ t ≤ 1 describe the line segment that joins the point
s 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.)
Given: x = x1 + (x2 ⒠x1)t, y = y1 + (y2 ⒠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