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 - ___

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 - ___

campbell_st · Answer

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