Question

1. What is the length of the segment joining the points at (-1,6) and (-5,3) 2. What is the length of the segment joining the points at (-4, 1) and (3,7)

Answer 1

QUESTION 1

We want to find the length of the segment joining the points at (-1,6) and (-5,3).



We use the distance formula which is given by the formula,


`d=√((x_2-x_1)^2+(y_2-y_1)^2)`



`d=√(( - 5 - - 1)^2+(3 - 6))^2)`



`d=√(( - 5 + 1)^2+(3 - 6)^2)`




`d=√(( - 4)^2+( - 3)^2)`



`d=√(16+9)`



`d=√(25)`


`d = 5 \: units`


QUESTION 2

We want to find the length of the segment joining at (-4,1) and (3,7).




We use the distance formula to get,



`d = \sqrt{(3 - - 4)^(2) + {(7 - 1)}^(2) }`


`d = \sqrt{(3 + 4)^(2) + {(7 - 1)}^(2) }`





`d = \sqrt{7^(2) + {6}^(2) }`



`d = √(49+ 36 ) .`



`d = √(85 ) \: units`