[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Here's the solution ~
The given points are : (-7 , -4) and (1 , 1)
now, let's use distance formula to find the distance between them !
[tex]{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:\sqrt{(x_2 - x_1)² +( y_2 - y_1)² } [/tex]
[tex]{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \sqrt{( - 7 - 1) {}^{2} + ( - 4 - 1) {}^{2} } [/tex]
[tex]{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \sqrt{( - 8)² +( - 5)² } [/tex]
[tex]{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \sqrt{64 + 25} [/tex]
[tex]{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \sqrt{89} [/tex]
