Question

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

Answer 1

Step-by-step 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

Answer:

13 units

Step-by-step 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 = $\sqrt{(4-(-1))^2+(-9-3)^2}$

  = $\sqrt{(4+1)^2+(-12)^2}$

   = $\sqrt{5^2+144}$

   = $\sqrt{25+144}$

   = $\sqrt{169}$

   = 13