Distance between the points (-4,-2) and (8,9)

Distance between (-4,-2) and (8,9)

Here we will show you how to find the distance between the points (-4,-2) and (8,9) using a formula. In other words, you have the points (-4,-2) and (8,9) 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 (-4,-2) and (8,9) so it is easy to follow along:

(-4,-2) and (8,9) = (x₁,y₁) and (x₂,y₂)

x₁ = -4
y₁ = -2
x₂ = 8
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 (-4,-2) and (8,9), is as follows:

d = √(x₁ - x₂)² + (y₁ - y₂)²

The next step is to enter our points into the formula. When we enter (-4,-2) and (8,9) into the formula, we get this:

d = √((-4) - (8))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 (-4,-2) and (8,9):

d = √((-4) - (8))² + ((-2) - (9))²

d = √(-12)² + (-11)²

d = √144 + 121

d = √265

d ≈ 16.2788

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 (-4,-2) and (9,-9)
Here is the next distance between two points that we have calculated for you.