Distance between the points (5,8) and (-8,-6)

Distance between (5,8) and (-8,-6)

Here we will show you how to find the distance between the points (5,8) and (-8,-6) using a formula. In other words, you have the points (5,8) and (-8,-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 (5,8) and (-8,-6) so it is easy to follow along:

(5,8) and (-8,-6) = (x₁,y₁) and (x₂,y₂)

x₁ = 5
y₁ = 8
x₂ = -8
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 (5,8) and (-8,-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 (5,8) and (-8,-6) into the formula, we get this:

d = √((5) - (-8))² + ((8) - (-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 (5,8) and (-8,-6):

d = √((5) - (-8))² + ((8) - (-6))²

d = √(13)² + (14)²

d = √169 + 196

d = √365

d ≈ 19.1050

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