In this question is given to points, with coordinates (-3,-4) and (-8,1). It is asked to find the distance between both points. The only way to find the solution is by using the Distance Formula, which is represented by
[tex]d= \sqrt{( x_{2}- x_{1})^{2}+( y_{2}- y_{1})^{2}} [/tex].
[tex]d= \sqrt{( x_{2}- x_{1})^{2}+( y_{2}- y_{1})^{2}}
[/tex]
[tex]d= \sqrt{(-3--8)^{2}+(-4-1)^{2}}[/tex]
[tex]d= \sqrt{(5)^{2}+(-5)^{2}[/tex]
[tex]d= \sqrt{(25)+(25)
[/tex]
[tex]d= \sqrt{50} [/tex]
[tex]d=7.07 units[/tex] or [tex]5 \sqrt{2}units[/tex]
The distance between the coordinates (-3,-4) and (-8,1) is 7.07 units or [tex]5 \sqrt{2}units[/tex].