Distance between the points (8,-4) and (-5,3)

Distance between (8,-4) and (-5,3)

Here we will show you how to find the distance between the points (8,-4) and (-5,3) using a formula. In other words, you have the points (8,-4) and (-5,3) 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,-4) and (-5,3) so it is easy to follow along:

(8,-4) and (-5,3) = (x₁,y₁) and (x₂,y₂)

x₁ = 8
y₁ = -4
x₂ = -5
y₂ = 3

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,-4) and (-5,3), 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,-4) and (-5,3) into the formula, we get this:

d = √((8) - (-5))² + ((-4) - (3))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,-4) and (-5,3):

d = √((8) - (-5))² + ((-4) - (3))²

d = √(13)² + (-7)²

d = √169 + 49

d = √218

d ≈ 14.7648

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