Distance between the points (-9,-2) and (5,9)

Distance between (-9,-2) and (5,9)

Here we will show you how to find the distance between the points (-9,-2) and (5,9) using a formula. In other words, you have the points (-9,-2) and (5,9) 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 (-9,-2) and (5,9) so it is easy to follow along:

(-9,-2) and (5,9) = (x₁,y₁) and (x₂,y₂)

x₁ = -9
y₁ = -2
x₂ = 5
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 (-9,-2) and (5,9), is as follows:

d = √(x₁ - x₂)² + (y₁ - y₂)²

The next step is to enter our points into the formula. When we enter (-9,-2) and (5,9) into the formula, we get this:

d = √((-9) - (5))² + ((-2) - (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 (-9,-2) and (5,9):

d = √((-9) - (5))² + ((-2) - (9))²

d = √(-14)² + (-11)²

d = √196 + 121

d = √317

d ≈ 17.8045

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