Question

Find the distance between the points (-5,4) and (-35,-12).

Answer 1

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;

`\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}`