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Chapter 10: Q. 36 (page 695)

In Problems 35–38, find parametric equations that define the curve shown.

Short Answer

Expert verified

The parametric equation isx=1-t,y=t,-2≤t≤2

Step by step solution

01

Step 1. Given Information

We are given a graph

Given the curve and its coordinates, we were asked to determine its parametric equation. To do that, we have to find equation representing the given graph to find the parametric equation.

02

Step 2. Finding Slope

The coordinates of the graph are x1,y1=-1,2and x2,y2=3,-2

Then, slope ism=-2-23+1=-44=-1

03

Step 3. Finding Linear Equation

By Using

y=mx+c

y=-1x+1y=-x+1

This is the rectangular equation.

04

Step 4. Finding Parametric Equation

Put y=t,-2≤t≤2

Fromy=-x+1, we gett=-x+1x=1-t

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