Distance between the points (6,0) and (7,-2)

Distance between (6,0) and (7,-2)

Here we will show you how to find the distance between the points (6,0) and (7,-2) using a formula. In other words, you have the points (6,0) and (7,-2) 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 (6,0) and (7,-2) so it is easy to follow along:

(6,0) and (7,-2) = (x₁,y₁) and (x₂,y₂)

x₁ = 6
y₁ = 0
x₂ = 7
y₂ = -2

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 (6,0) and (7,-2), is as follows:

d = √(x₁ - x₂)² + (y₁ - y₂)²

The next step is to enter our points into the formula. When we enter (6,0) and (7,-2) into the formula, we get this:

d = √((6) - (7))² + ((0) - (-2))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 (6,0) and (7,-2):

d = √((6) - (7))² + ((0) - (-2))²

d = √(-1)² + (2)²

d = √1 + 4

d = √5

d ≈ 2.2361

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