Distance between the points (-1,5) and (-8,-1)

Distance between (-1,5) and (-8,-1)

Here we will show you how to find the distance between the points (-1,5) and (-8,-1) using a formula. In other words, you have the points (-1,5) and (-8,-1) 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 (-1,5) and (-8,-1) so it is easy to follow along:

(-1,5) and (-8,-1) = (x₁,y₁) and (x₂,y₂)

x₁ = -1
y₁ = 5
x₂ = -8
y₂ = -1

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 (-1,5) and (-8,-1), is as follows:

d = √(x₁ - x₂)² + (y₁ - y₂)²

The next step is to enter our points into the formula. When we enter (-1,5) and (-8,-1) into the formula, we get this:

d = √((-1) - (-8))² + ((5) - (-1))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 (-1,5) and (-8,-1):

d = √((-1) - (-8))² + ((5) - (-1))²

d = √(7)² + (6)²

d = √49 + 36

d = √85

d ≈ 9.2195

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