Question

What best describes the distance between two points with coordinates (2,-3) and (-4,2)

Answer 1

Option c (7.8) is the correct alternative.

Explanation:

The given points are:

(x₁, y₁) = (2, -3)

(x₂, y₂) = (-4, 2)

As we know,

The distance between two points will be:

=
`√((x_2-x_1)^2+(y_2-y_1)^2)`

On substituting the values, we get

=
`√((-4-2)^2+(2-(-3))^2)`

=
`√((-4-2)^2+(2+3)^2)`

=
`√((6)^2+(5)^2)`

=
`√(36+25)`

=
`√(61)`

=
`7.8 \ units`