To find the distance between points, use the distance formula.
Distance formula: [tex] \sqrt{ (x_{2} - x_{1})^{2} + ( y_{2} - y_{1})^{2} } [/tex]
Plug in your values for [tex] x_{2}, x_{1}, y_{2}, y_{1}[/tex] using (-8, -7) and (8, -4) and solve.
[tex] \sqrt{(8 - (-8))^{2}+(-4 - (-7))^{2}} [/tex]
[tex] \sqrt{(8+8)^{2}+(-4+7)^{2}} [/tex]
[tex] \sqrt{(16)^{2}+(3)^{2}} [/tex]
[tex] \sqrt{256+9} [/tex]
[tex] \sqrt{265} [/tex] ≈ [tex] 16.28[/tex]
Answer:
Approximately 16.28 units.
