+0  
 
0
428
1
avatar

Point  A lies somewhere within or on the square which has opposite corners at (0,0) and (2,2) . Point B  lies somewhere within or on the square which has opposite corners at points (4,2) and (5,3) . What is the greatest possible value of the slope of the line containing points A and B ? Express your answer as a common fraction.

 Mar 11, 2020
 #1
avatar+2234 
0

 

Point  A lies somewhere within or on the square which has opposite corners at (0,0) and (2,2) . Point B  lies somewhere within or on the square which has opposite corners at points (4,2) and (5,3) . What is the greatest possible value of the slope of the line containing points A and B ? Express your answer as a common fraction.     

 

                          m  =  (y2 – y1) / (x2 – x1)     

 

                          m  =  (3 – 0) / (4 – 2)     

                          m  =  3 / 2     

                          m  =  1.5     

 

                          Just draw both squares on some graph paper and it's obvious that the steepest line is     

                          one drawn from the bottom right corner of the large square to the top left corner of the     

                          small square.     

 

.     

 Oct 5, 2025

0 Online Users