Distance between the points (3,-6) and (-9,1)

Distance between (3,-6) and (-9,1)

Here we will show you how to find the distance between the points (3,-6) and (-9,1) using a formula. In other words, you have the points (3,-6) and (-9,1) 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 (-9,1) so it is easy to follow along:

(3,-6) and (-9,1) = (x₁,y₁) and (x₂,y₂)

x₁ = 3
y₁ = -6
x₂ = -9
y₂ = 1

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 (-9,1), 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 (-9,1) into the formula, we get this:

d = √((3) - (-9))² + ((-6) - (1))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 (-9,1):

d = √((3) - (-9))² + ((-6) - (1))²

d = √(12)² + (-7)²

d = √144 + 49

d = √193

d ≈ 13.8924

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