Question

Find the length of the segment that joins the points (-5,4) and (7,-1)

Answer 1

13

Explanation:

Calculate the length using the distance formula

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

with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (7, - 1)

d =
`√((7-(-5))^2+(-1-4)^2)`

=
`√((7+5)^2+(-5)^2)`

=
`√(12^2+25)`

=
`√(144+25)`

=
`√(169)`

= 13