Question

Sketch the plane curve defined by the given parametric equations and find a corresponding x-y equation for the curve. x=3+8t, y=7t. Answer should be formatted: y=___ x - ___

Answer 1

make t the subject in both equations

\[t = \frac{x - 3}{8}... and ... t = \frac{y}{7}\]

substituting you get

\[\frac{y}{7} = \frac{x - 3}{8}\]

or

\[y = \frac{7(x - 3)}{8}\]

just simplify