**Parametric Equations**

Two equations that describe one curve

*Note: Problems 17.1–17.4 refer to the curve defined by parametric equations x = t + 3 and y = 2t – 1.*

**17.1** Identify the point on the curve that corresponds with *t* = –3.

A parametrically defined graph uses individual equations to represent the coordinates of each point. In this problem, the *x*- and *y*-coordinates of each point are defined in terms of a third variable *t* called the parameter. Substitute *t* = –3 into both of the parametric equations to identify the coordinates of one point on the graph of the parametric curve.

Thus, the parameter *t* = –3 corresponds with the rectangular coordinates ...

Start Free Trial

No credit card required