Question

Write down the vector equation for the line through the given point in the specified direction. Then eliminate t to obtain the cartesian equation.

(a) (2,3), \[\left(\begin{matrix}1 \\ 2\end{matrix}\right)\]

Answer 1

(x,y) = (2,3) +t(1,2)
x= 2+1t, y = 3+2t
eliminating t:
t =(x-2)/1 =( y-3)/2
2(x-2)=y-3
y = 2x -1

Answer 2

Thank you!

Answer 3

you wellcome