Suppose parametric equations for the line segment between (9, 7) and (9, 2) have the form: x(t)= a + bt and y (t)= c + dt If the parametric curve starts at (9, 7) when t=0 and ends at (9, 2) at t=1

Question

then find a , b , c , and d .

Answer 1

Given:

X(0)=9

Y(0)=7

X(1)=9

Y(1)=2

Given equation: X(t)=a+bt, at t=0

Then X(0)=a

a=9

Given equation: Y(t)=c+dt, at t=0

Then Y(0)=c

c=7

X(1)=a+b

9=9+b

b=0

Y(1)=c+d

2=7+d

d=-5