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

For those with the square root answer its 2\sqrt(34)

Explanation:

Answer 2

Option (2)

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`

=
`√(6^2+10^2)`

=
`√(136)`

= 11.66

≈ 11.7 units

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

Option (2) will be the answer.