Distance between the points (-5,-1) and (1,9)

Distance between (-5,-1) and (1,9)

Here we will show you how to find the distance between the points (-5,-1) and (1,9) using a formula. In other words, you have the points (-5,-1) and (1,9) 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,-1) and (1,9) so it is easy to follow along:

(-5,-1) and (1,9) = (x₁,y₁) and (x₂,y₂)

x₁ = -5
y₁ = -1
x₂ = 1
y₂ = 9

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,-1) and (1,9), 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,-1) and (1,9) into the formula, we get this:

d = √((-5) - (1))² + ((-1) - (9))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,-1) and (1,9):

d = √((-5) - (1))² + ((-1) - (9))²

d = √(-6)² + (-10)²

d = √36 + 100

d = √136

d ≈ 11.6619

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