Distance between the points (3,-6) and (-9,-9)

Distance between (3,-6) and (-9,-9)

Here we will show you how to find the distance between the points (3,-6) and (-9,-9) using a formula. In other words, you have the points (3,-6) and (-9,-9) on a two-dimensional graph with an x-axis and a y-axis, and you want to find the distance between the two points.

We start by labeling and coloring the points (3,-6) and (-9,-9) so it is easy to follow along:

(3,-6) and (-9,-9) = (x₁,y₁) and (x₂,y₂)

x₁ = 3
y₁ = -6
x₂ = -9
y₂ = -9

Next, we will show you the formula you can use to calculate the distance between two points. The formula to calculate the distance (d) between two points, such as (3,-6) and (-9,-9), is as follows:

d = √(x₁ - x₂)² + (y₁ - y₂)²

The next step is to enter our points into the formula. When we enter (3,-6) and (-9,-9) into the formula, we get this:

d = √((3) - (-9))² + ((-6) - (-9))²

All we need to do now is solve the equation above. Here is the math and the answer to the distance (d) between the points (3,-6) and (-9,-9):

d = √((3) - (-9))² + ((-6) - (-9))²

d = √(12)² + (3)²

d = √144 + 9

d = √153

d ≈ 12.3693

Distance Between Two Points Calculator
Need to calculate a similar problem? No problem! Go here to calculate the distance between another set of points.

Find the distance between the points (3,-6) and (-9,-8)
Here is the next distance between two points that we have calculated for you.