Question

Examine the diagram, and answer the question. The points A(2,7) and B(−4,−3) are located in the coordinate plane as shown. Points A and B are shown in the coordinate plane at the locations indicated. What is the approximate distance between the two points?

Answer 1

Answer:

Option (2)

Step-by-step explanation:

Formula to get the distance between two points $(x_1, y_1)$ and $(x_2,y_2)$ is,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

The given points are A(2, 7) and B(-4, -3)

Distance between these points will be,

AB = $\sqrt{(2+4)^2+(7+3)^2$

     = $\sqrt{6^2+10^2}$

     = $\sqrt{136}$

     = 11.66

     ≈ 11.7 units

Therefore, distance between the points A and B is 11.7 units.

Option (2) will be the answer.