Question

What is the distance between points L(-1,3) and 2(4, -9)

HELP ASAP

Answer 1

Explanation:

the other answer is correct.

just a few words about the why :

when you look at 2 points on the coordinate grid, then the distance between them creates a right-angled triangle.

the direct distance is the Hypotenuse (the baseline opposite of the 90° angle).

and the x-coordinate difference and the y-coordinate difference are the legs of that triangle.

and then we can use Pythagoras

c² = a² + b²

c = sqrt(a² + b²)

with c being the Hypotenuse.

and you see, that is exactly the so-called distance formula the other answer used.

Answer 2

13 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 ) = (- 1, 3 ) and (x₂, y₂ ) = (4, - 9 )

d =
`√((4-(-1))^2+(-9-3)^2)`

=
`√((4+1)^2+(-12)^2)`

=
`√(5^2+144)`

=
`√(25+144)`

=
`√(169)`

= 13