Answer:
10 units
Step-by-step explanation:
To find the distance between two points on a graph, we use the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2[/tex] where [tex]d[/tex] is the distance between points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
For this problem, we will identify [tex](x_1,y_1)\rightarrow(5,7)[/tex] and [tex](x_2,y_2)\rightarrow(11,-1)[/tex]:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(-1-7)^2+(11-5)^2}\\\\d=\sqrt{(-8)^2+(6)^2}\\\\d=\sqrt{64+36}\\\\d=\sqrt{100}\\\\d=10[/tex]
Therefore, the distance between [tex](5,7)[/tex] and [tex](11,-1)[/tex] is 10 units
