Answer: 15 units
Step-by-step explanation:
Given
The endpoints of the line segment are [tex](-7,10)\ \text{and}\ (-6,-5)[/tex]
The length of the line segment is given by the distance formula i.e.
[tex]d=\sqrt{\left( x_2-x_1\right)^2+\left( y_2-y_1\right)^2}[/tex]
Insert the values,
[tex]\Rightarrow d=\sqrt{\left( -6+7\right)^2+\left( -5-10\right)^2}\\\Rightarrow d=\sqrt{1^2+\left( -15\right)^2}\\\Rightarrow d=\sqrt{1+225}\\\Rightarrow d=15.0\ \text{units}[/tex]
Therefore, the length of line segment TU is 15 units
