Question

What’s the distance between the two end points (5,6) and (-4,-7)

Answer 1

d ≈ 15.8 units

Explanation:

calculate the distance d using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

with (x₁, y₁ ) = (5, 6 ) and (x₂, y₂ ) = (- 4, - 7 )

substitute these values into the formula for d

d =
`√((-4-5)^2+(-7-6)^2)`

=
`√((-9)^2+(-13)^2)`

=
`√(81+169)`

=
`√(250)`

≈ 15.8 units ( to 1 decimal place )