Question

Find the distance of the following point B ( -5 , -5 ) from the origin​

Answer 1

$\sf \large \: Distance \: between \: two \: points \: (x_1 , y_1) \: and \: ( x_2 , y_2) : \\ \\ \rm \large\longrightarrow \sqrt{{ {(x_2 - x_1)}^{2} + (y_2 - y_1)}^{2} }$

We have to find out the distance between point B ( -5 , -5 ) and the origin.

coordinates of origin :- (0,0)

$\rm \: Distance \: between \: two \: points \: (-5,-5) \: and \: ( 0 , 0) \\ \\ \rm \large\longrightarrow \sqrt{{ {(0 + 5)}^{2} + (0 + 5)}^{2} } \\ \\ \\ \rm \large\longrightarrow \sqrt{{ {(5)}^{2} + ( 5 )}^{2} }\\ \\ \\ \rm \large\longrightarrow \sqrt{{ { 25}+ 25 } }\\ \\ \\ \rm \large\longrightarrow \sqrt{{50} } \\ \\ \\ \rm \: Distance \: between \: two \: points \: (-5,-5) \: and \: ( 0 , 0) = \sqrt{50} \: units$

Answer : √(50) unit

Additional Information:-

$\tt \: Equation \: of \: line \: passing \: through \: points \: (x_1 , y_1) \: and \: (x_2 , y_2) :$

$\tt \longrightarrow y - y_1 = x-x_1\bigg( \dfrac{y_2-y_1}{ x_2-x_1} \bigg )$

$\tt \rightarrow \: here \: \bigg( \dfrac{y_2-y_1}{ x_2-x_1} \bigg ) is \: slope \: of \: line$