Distance between the points (1,6) and (9,-7)

Distance between (1,6) and (9,-7)

Here we will show you how to find the distance between the points (1,6) and (9,-7) using a formula. In other words, you have the points (1,6) and (9,-7) 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,-7) so it is easy to follow along:

(1,6) and (9,-7) = (x₁,y₁) and (x₂,y₂)

x₁ = 1
y₁ = 6
x₂ = 9
y₂ = -7

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,-7), 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,-7) into the formula, we get this:

d = √((1) - (9))² + ((6) - (-7))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,-7):

d = √((1) - (9))² + ((6) - (-7))²

d = √(-8)² + (13)²

d = √64 + 169

d = √233

d ≈ 15.2643

Distance Between Two Points Calculator
Need to calculate a similar problem? No problem! Go here to calculate the distance between another set of points.

Find the distance between the points (1,6) and (9,-6)
Here is the next distance between two points that we have calculated for you.