Question

A pair of parametric equations is given. x = 3t, y = t + 5 a. Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases.b. Find a rectangular-coordinate equation for the curve by eliminating the parameter. x = 2t, y = t + 6

Answer 1

Answer:

Step-by-step explanation:

Given that a pair of parametric equations is given. x = 3t, y = t + 5

This can be written as

$\frac{x-0}{3} =\frac{y-5}{1}$

which is a straight line

The graph is shown in the attached file.

b) x=2t and y =t+6

We can write this as

$\frac{x-0}{2} =\frac{y-6}{1}$

Simplify to get

x =2y-12

x-2y+12 =0 is the equation in rectangular coordinates.