a) Interpret the parametric equations x = x1+(x2-x1)t y = y+(y2-y1)t where 0<= t <=1, which the line segment joins the points P1(x1,y1) and P2(x2,y2) . b) Hence, find the parametric equations which represent the line segment from (−2 , 7) to (3 , −1).

a) Interpret the parametric equations x = x1+(x2-x1)t y = y+(y2-y1)t where 0<= t <=1, which the line segment joins the points P1(x1,y1) and P2(x2,y2) . b) Hence, find the parametric equations which represent the line segment from (−2 , 7) to (3 , −1).

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 12T

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Concept explainers

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.

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a) Interpret the parametric equations
x = x₁+(x₂-x₁)t
y = y+(y₂-y₁)t

where 0<= t <=1, which the line segment joins the points P₁(x₁,y₁) and
P₂(x₂,y₂) .

b) Hence, find the parametric equations which represent the line segment
from (−2 , 7) to (3 , −1).

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