Distance between the points (5,9) and (-6,-4)

Distance between (5,9) and (-6,-4)

Here we will show you how to find the distance between the points (5,9) and (-6,-4) using a formula. In other words, you have the points (5,9) and (-6,-4) 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 (5,9) and (-6,-4) so it is easy to follow along:

(5,9) and (-6,-4) = (x₁,y₁) and (x₂,y₂)

x₁ = 5
y₁ = 9
x₂ = -6
y₂ = -4

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 (5,9) and (-6,-4), is as follows:

d = √(x₁ - x₂)² + (y₁ - y₂)²

The next step is to enter our points into the formula. When we enter (5,9) and (-6,-4) into the formula, we get this:

d = √((5) - (-6))² + ((9) - (-4))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 (5,9) and (-6,-4):

d = √((5) - (-6))² + ((9) - (-4))²

d = √(11)² + (13)²

d = √121 + 169

d = √290

d ≈ 17.0294

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