Question

convert cartesian equation of the line to parametric (image attached)

when I do it, I keep missing 5s all over the place and its really annoying /:

Answer 1

To me,
\(5(x+(1/5)) = -5(y -(9/5) = -5z\)
divide all by -5
\(\dfrac{x+(1/5)}{-1}=\dfrac{y-(9/5)}{1}=\dfrac{z}{1}\)
hence \(x_0= (-1/5), a =-1\)

\(y_0=(9/5) , b=1\)

\(z_0=0, c =1\)
Now, we can jot down the parametric equation
\(x = x_0+ at\\y=y_0+ bt\\z = z_0+ct\)

Answer 2

oh so thats where the 5 comes from.. ok thanks!! I figured it out a different way :)