Given
[tex] \: \: [/tex]
[tex] \frak \gray{ The \: given \: two \: points \: are \: ( x_1 ,y_1 ) = ( -7 , 10 ) \: and \: ( x_2 , y_2 ) = ( -11 , 4 )}[/tex]
[tex] \: [/tex]
By Distance Formula
[tex] \sf \frak { \gray {Distance = \sqrt{(x_2 - x_1)² + ( y_2 - y_1)²} }}[/tex]
[tex] \: \: [/tex]
[tex] \frak \gray{ = \sqrt{( - 11 + 7) ^{2} + (4 - 10)^{2} } }[/tex]
[tex] \: \: [/tex]
[tex] \frak \gray {= \sqrt{( { - 4)}^{2} + ( - { 64})^{2} } }[/tex]
[tex] \: \: [/tex]
[tex]\frak \gray{ = \sqrt{16 + 36} }[/tex]
[tex] \: \: [/tex]
[tex] \boxed {\frak \gray{ = \sqrt{56} }}[/tex]
Hope Helps! :)
