Answer:
[tex]Distance=13\ units[/tex]
Step-by-step explanation:
Distance between two points: Distance between two pints [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given by
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between [tex](-9,-4)\ and\ (-4,8).[/tex]
[tex]d=\sqrt{(-4-(-9))^2+(8-(-4))^2}\\\\d=\sqrt{(-4+9)^2+(8+4)^2}\\\\d=\sqrt{(5)^2+(12)^2}=\sqrt{25+144}\\\\d=\sqrt{169}\\\\d=13[/tex]
