Question

Three points are shown on the coordinate plane.What is the distance from point A to point B?

Answer 1

The distance from point A to point B is;

`5\text{ units}`

Step-by-step explanation:

Given the points A and B with coordinates as shown on the graph;

`\begin{gathered} A(0,5) \\ B(3,1) \end{gathered}`

Recall that the distance between two points can be calculated using the formula;

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

substituting the coordinates of point A and B. we have;

`\begin{gathered} d=\sqrt[]{(3-0)^2+(1-5)^2} \\ d=\sqrt[]{3^2+4^2} \\ d=\sqrt[]{9+16} \\ d=\sqrt[]{25} \\ d=5 \end{gathered}`

Therefore, the distance from point A to point B is;

`5\text{ units}`