The distance between the two points is 34 units
Here, we want to find the distance between the two given points
To do this, we are going to use the distance formula
Mathematically, we have this as;
[tex]\begin{gathered} D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ (x_1,y_1)\text{ = (-5,4)} \\ (x_2,y_2)\text{ = (-35,-12)} \\ D\text{ = }\sqrt[]{(-35-(-5))^2+(-12-4)^2} \\ D\text{ = }\sqrt[]{-30^2+(-16)^2} \\ D\text{ = }\sqrt[]{900+256} \\ D\text{ = }\sqrt[]{1156} \\ D\text{ = 34} \end{gathered}[/tex]