Distance between the points (-8,9) and (6,-6)

Distance between (-8,9) and (6,-6)

Here we will show you how to find the distance between the points (-8,9) and (6,-6) using a formula. In other words, you have the points (-8,9) and (6,-6) 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 (-8,9) and (6,-6) so it is easy to follow along:

(-8,9) and (6,-6) = (x₁,y₁) and (x₂,y₂)

x₁ = -8
y₁ = 9
x₂ = 6
y₂ = -6

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 (-8,9) and (6,-6), is as follows:

d = √(x₁ - x₂)² + (y₁ - y₂)²

The next step is to enter our points into the formula. When we enter (-8,9) and (6,-6) into the formula, we get this:

d = √((-8) - (6))² + ((9) - (-6))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 (-8,9) and (6,-6):

d = √((-8) - (6))² + ((9) - (-6))²

d = √(-14)² + (15)²

d = √196 + 225

d = √421

d ≈ 20.5183

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 (-8,9) and (6,-5)
Here is the next distance between two points that we have calculated for you.