Distance between the points (8,-4) and (-6,-7)

Distance between (8,-4) and (-6,-7)

Here we will show you how to find the distance between the points (8,-4) and (-6,-7) using a formula. In other words, you have the points (8,-4) and (-6,-7) 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 (-6,-7) so it is easy to follow along:

(8,-4) and (-6,-7) = (x₁,y₁) and (x₂,y₂)

x₁ = 8
y₁ = -4
x₂ = -6
y₂ = -7

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 (-6,-7), 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 (-6,-7) into the formula, we get this:

d = √((8) - (-6))² + ((-4) - (-7))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 (-6,-7):

d = √((8) - (-6))² + ((-4) - (-7))²

d = √(14)² + (3)²

d = √196 + 9

d = √205

d ≈ 14.3178

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