Determine the slope of a line joining the points (13, 1) and (−3, −3).   Determine the slope of a line joining the points (9, 0) and (13, 1).   Determine the slope of a line joining the points (−3, −3) and (9, 0).   Use the concept of slope to determine if the three points  (13, 1), (−3, −3), and (9, 0)  are colinear. The three points are collinear.The three points are not collinear.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Determine the slope of a line joining the points (13, 1) and (−3, −3).
 
Determine the slope of a line joining the points (9, 0) and (13, 1).
 
Determine the slope of a line joining the points (−3, −3) and (9, 0).
 
Use the concept of slope to determine if the three points 
(13, 1), (−3, −3), and (9, 0)
 are colinear.
The three points are collinear.The three points are not collinear.   
Expert Solution
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find the slope of a line joining the points (13, 1) and (−3, −3).

two points are

(x_1,y_1)=(13,1)

(x_2,y_2)=(-3,-3)

the slope of the line is given by

m_1=\frac{y_2-y_1}{x_2-x_1}

m_1=\frac{-3-1}{-3-13}

{\color{Red} m_1=\frac{1}{4}}

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