Question

On a coordinate grid, point A is located at (0,0) and point B is located at (3,4) .What is the distance from A to B

Answer 1

5 units.

Step-by-step explanation:

To find the distance between two points in the coordinate plane, use the distance formula below:

`\begin{gathered} Distance=√((x_2-x_1)^2+(y_2-y_1)^2) \\ (x_1,y_1)=A(0,0) \\ (x_2,y_2)=B(3,4) \end{gathered}`

Substituting the points gives:

`\begin{gathered} AB=\sqrt[]{(3-0)^2+(4-0)^2} \\ =\sqrt[]{(3)^2+(4)^2} \\ =\sqrt[]{9+16} \\ =\sqrt[]{25} \\ AB=5\text{ units} \end{gathered}`

The distance from A to B ​is 5 units.