Question

Find the distance between the two points.

Answer 1

Answer:

$\sqrt{61}$

Step-by-step explanation:

Hi there!

We are given the points (2, 2) and (-3, -4).

We want to find the distance between them.

We can use the distance formula for that, which is $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$, where $(x_1, y_1)$ and $(x_2, y_2)$ are points

We have two points, which is needed for that, but let's label their values to avoid confusion

$x_1=2\\y_1=2\\x_2=-3\\y_2=-4$

Now substitute those values into the formula to find the distance

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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

Simplify the values under the radical

$\sqrt{(-5)^2+(-6)^2}$

Raise the numbers under the radical

$\sqrt{25+36}$

Add the numbers under the radical together

$\sqrt{61}$

The answer cannot be simplified down further, so $\sqrt{61}$ is the answer.

Hope this helps!