Question

Can you help me find the distance I would really appreciate it.

Answer 1

13 units

Step-by-step explanation

the distance between 2 points is given by:

`\begin{gathered} d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ \text{where} \\ P1(x_1,y_1) \\ P2(x_2,y_2) \end{gathered}`

Step 1

Let

P1(-6,2)

P2(6,-3)

now, replace

`\begin{gathered} d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ d=\sqrt[]{(-3-2)^2+(6-(-6))^2} \\ d=\sqrt[]{(-5)^2+(12)^2} \\ d=\sqrt[]{25+144} \\ d=\sqrt[]{169} \\ d=13 \end{gathered}`

I hope this helps you