Question

Find the distance between each of the following pairs of points (5,-8) M(-7,-3)

Answer 1

d = 13 units

Explanation:

calculate the distance d using the distance formula

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

let (x₁, y₁ ) = (5, - 8 ) and (x₂, y₂ ) = (- 7, - 3 )

substitute these values into the formula for d

d =
`√((-7-5)^2+(-3-(-8))^2)`

=
`√((-12)^2+(-3+8)^2)`

=
`√(144+5^2)`

=
`√(144+25)`

=
`√(169)`

= 13 units