Q1. Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (ii) Find the coordinates of the midpoint of the points A and B (iii) Find the distance between points A and B.
Answers
Step-by-step explanation:
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Given : Two points A (-2, 9) and B (4, 8) lie on a line l.
To find : (i)Find the slope of the line l. (ii)Find the coordinates of the midpoint of the points A and B (iii)Find the distance between points A and B
Solution :
A (-2, 9) and B (4, 8)
Slope of the line AB = ( 8 - 9)/(4 -(-2))
= - 1/ 6
-1/6 is the slope of line AB
Mid point of AB
= ( - 2 + 4)/2 , ( 9 + 8)/2
= ( 1 , 17/2)
distance between points A and B
= √(4 -(-2))² +(8 - 9)²
= √36 + 1
=√37
-1/6 is the slope of line AB
( 1 , 17/2) is Mid point of AB
√37 is distance between points A and B
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