Distance between the points (2,1) and (-7,-1)

Distance between (2,1) and (-7,-1)

Here we will show you how to find the distance between the points (2,1) and (-7,-1) using a formula. In other words, you have the points (2,1) and (-7,-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 (2,1) and (-7,-1) so it is easy to follow along:

(2,1) and (-7,-1) = (x₁,y₁) and (x₂,y₂)

x₁ = 2
y₁ = 1
x₂ = -7
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 (2,1) and (-7,-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 (2,1) and (-7,-1) into the formula, we get this:

d = √((2) - (-7))² + ((1) - (-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 (2,1) and (-7,-1):

d = √((2) - (-7))² + ((1) - (-1))²

d = √(9)² + (2)²

d = √81 + 4

d = √85

d ≈ 9.2195

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