Question

distance between (-3,-4) and (1,-3)​

Answer 1

$\bf \large{ \underline{ \underline{ \red{Given : }}}}$

$\sf \small{Two \: points \: ( - 3, - 4)and \: (1, - 3)}$

$\bf \large { \underline{ \underline{ \pink{Required \: answer : }}}}$

$\sf \small{Distance \: between \: given \: points.}$

$\bf \large{ \underline{ \underline{ \green{Solution : }}}}$

$\sf \small{Points \: (- 3 , - 4)and(1, - 3)}$

$\sf \small{ \therefore \: x_1 = - 3, \: x_2 =1 , \: y_1 = - 4, \: and \: y_2 = - 3}$

$\sf \small{ let \: the \: two \: points \: be \: A( - 3, - 4)and \: B(1, - 3)}$

$\sf \small{ \therefore \: AB = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y _1)}^{2} } }$

$\sf \small{ \implies{AB = \sqrt{ { {(1 + 3)}^{2} + {( - 3 + 4)}^{2} }} } }$

$\sf \small{ \implies{AB \: = \sqrt{ {4}^{2} + {1}^{2} }}}$

$\sf \small{ \implies{AB = \sqrt{17} }}$