Suppose parametric equations for the line segment between 6,\ 7)

Russell Gillen

Russell Gillen

Answered question

2021-12-07

Suppose parametric equations for the line segment between 6, 7) and (4, 5) have the form:
{x(t)=a=bty(t)=c+dt
If the parametric curve starts at (6, 7) when t=0 and ends at (4, 5) at t=1, then find a, b, c and d.

Answer & Explanation

Shawn Kim

Shawn Kim

Beginner2021-12-08Added 25 answers

Step 1
The parametric equations for the line segment between (6, 7) and (4, 5) have the form
{x(t)=a=bty(t)=c+dt
The parametric curve strats at (6, 7) when t=0
x(0)=6 and t(0)=7
a=6 and c=7
and ends at (4, 5) at t=1
x(1)=4 and y(1)=5
a+b=4 and c+d=5
6+b=4 and 7+d=5
b=2 and d=2
The parametric equaion is,
{x(t)=62ty(t)=72t
Answer: The values are
a=6
b=2
c=7
d=2

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