Distance between the points (1,6) and (9,-5)

Distance between (1,6) and (9,-5)

Here we will show you how to find the distance between the points (1,6) and (9,-5) using a formula. In other words, you have the points (1,6) and (9,-5) 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 (1,6) and (9,-5) so it is easy to follow along:

(1,6) and (9,-5) = (x₁,y₁) and (x₂,y₂)

x₁ = 1
y₁ = 6
x₂ = 9
y₂ = -5

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 (1,6) and (9,-5), is as follows:

d = √(x₁ - x₂)² + (y₁ - y₂)²

The next step is to enter our points into the formula. When we enter (1,6) and (9,-5) into the formula, we get this:

d = √((1) - (9))² + ((6) - (-5))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 (1,6) and (9,-5):

d = √((1) - (9))² + ((6) - (-5))²

d = √(-8)² + (11)²

d = √64 + 121

d = √185

d ≈ 13.6015

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