Question

Find the distance (8,-7) (-4,-2)

Answer 1

Distance = 13 units

Point A: (8, -7)

Point B: (-4, -2)

$\sqrt{(8 + 4)^{2} + (-7 + 2)^{2} }$

$\sqrt{(12)^{2} + (-5)^{2} }$

$\sqrt{144 + 25 }$

$\sqrt{169}$

$13$

Answer 2

Answer:

$\boxed {d = 13}$

Step-by-step explanation:

Use the Distance Formula to help you find the distance between the two following points:

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

(where $(x_{1}, y_{1})$ represents the first point and $(x_{2}, y_{2})$ represents the second point)

-Apply the two following onto the formula:

$(x_{1}, y_{1}) = (8, -7)$

$(x_{2}, y_{2}) = (-4, -2)$

$d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}$

-Solve for the distance:

$d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}$

$d = \sqrt{(-12)^{2} + 5^{2}}$

$d = \sqrt{144 + 25}$

$d = \sqrt{169}$

$\boxed {d = 13}$

Therefore, the distance is $13$.