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). Use a graphing device to draw the triangle with vertices A(1, 1), B(4, 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.)

Find a set of parametric equations for the rectangular equation y=4x-4 that satisfies the condition at the point (4, 12). t=0 Select one: a. x=t, y = 4t-4 b. x=t, y=31²+1-4 c. x=t+4, y = 31² + 5t- 8 O d. x=-4, y = 41+ 12 e. xt+4, y = 4t+ 12 Check

The parametric equations 1 (2-1)t x=x₁+ (x2-x1)t, y=y₁+ (Y2 - Y1) where 0 st≤ 1 describe the line segment that joins the points P₁(x, y₁) and P₂(x2, y2). Use a graphing calculator or computer to draw the triangle with vertices A(1, 1), B(4, 3), C(1, 6). 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 from 0 to 1.) AB BC AC

of Find the parametric equations line through the point P (1₁-1,5) and parallel to the line x= 2+36 19= -26 2=1+26 a

Write parametric equations for the line that passes through the point P ( 0 , 4 , 0 )  at time t = 0  and passes through the point Q ( − 3 , 10 , 15 )  at time t = 3 .Does this line pass through the point R ( 1 , 2 , − 4 ) ? How do you know? If the line does not pass through this point, find a new point on the line with integer coordinates that is close to R ( 1 , 2 , − 4 ) .