Answer:
The coordinates are given below as
[tex]\begin{gathered} (x_1,y_1)\Rightarrow(-3,-2) \\ (x_2,y_2)\Rightarrow(7,4) \end{gathered}[/tex]
Concept:
To determine the distance between the two points, we will use the formula below
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
By substituting the values, we will have
[tex]\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ d=\sqrt{\left(7-\left(-3\right)\right)^2+\left(4-\left(-2\right)\right)^2} \\ d=\sqrt[]{(4+2)^2+(7+3)^2} \\ d=\sqrt[]{6^2+10^2} \\ d=\sqrt[]{36+100} \\ d=\sqrt[]{136} \\ d=\sqrt[]{4}\times\sqrt[]{34} \\ d=2\sqrt[]{34} \end{gathered}[/tex]
The value of d is
[tex]\sqrt[]{136}[/tex]
