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,

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$


$d=\sqrt{( - 5 - - 1)^2+(3 - 6))^2}$


$d=\sqrt{( - 5 + 1)^2+(3 - 6)^2}$



$d=\sqrt{( - 4)^2+( - 3)^2}$


$d=\sqrt{16+9}$


$d=\sqrt{25}$

$d = 5 \: units$


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,


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

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




$d = \sqrt{7^{2} + {6}^{2} }$


$d = \sqrt{49+ 36 } .$


$d = \sqrt{85 } \: units$