Question

Point A is located at (-4, -13). Point B is located at (-4, 3). What is the distance between point A

Answer 1

Answer:

the distance is 16

Step-by-step explanation:

Hi there!

We are given point A (-4,-13) and point B (-4,3). We need to find the distance between those two points

the distance formula is given as $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$ where ($x_{1}$,$y_{1}$) and ($x_{2}$, $y_{2}$) are points

we are given 2 points, which is what we need for the formula. However, let's label the values of the points to avoid any confusion

$x_{1}$=-4

$y_{1}$=-13

$x_{2}$=-4

$y_{2}$=3

now substitute those values into the formula. Remember: the formula uses SUBTRACTION.

$\sqrt{(-4--4)^2+(3--13)^2}$

simplify

$\sqrt{(-4+4)^2+(3+13)^2}$

now add the values inside the parenthesis that are under the radical

$\sqrt{(0)^2+(16)^2}$

raise everything under the radical to the second power

$\sqrt{0+256}$

add under the radical

$\sqrt{256}$

now take the square root of 256

$\sqrt{256}$=16

so the distance between point A and point B is 16

Hope this helps! :)