Answer:
[tex]5\sqrt{2}[/tex]
Step-by-step explanation:
The distance between two points on a Cartesian coordinate grid is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex] where [tex]d[/tex] is the distance between [tex](x_1,y_1)\rightarrow(-3,-4)[/tex] and [tex](x_2,y_2)\rightarrow(-8,1)[/tex]:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-8-(-3))^2+(1-(-4))^2}\\\\d=\sqrt{(-8+3)^2+(1+4)^2}\\\\d=\sqrt{(-5)^2+5^2}\\\\d=\sqrt{25+25}\\\\d=\sqrt{50}\\\\d=5\sqrt{2}[/tex]
Therefore, the distance between the two points is [tex]5\sqrt{2}[/tex] units.
