Distance between the points (1,2) and (4,-9)

Distance between (1,2) and (4,-9)

Here we will show you how to find the distance between the points (1,2) and (4,-9) using a formula. In other words, you have the points (1,2) and (4,-9) 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 (1,2) and (4,-9) so it is easy to follow along:

(1,2) and (4,-9) = (x₁,y₁) and (x₂,y₂)

x₁ = 1
y₁ = 2
x₂ = 4
y₂ = -9

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 (1,2) and (4,-9), is as follows:

d = √(x₁ - x₂)² + (y₁ - y₂)²

The next step is to enter our points into the formula. When we enter (1,2) and (4,-9) into the formula, we get this:

d = √((1) - (4))² + ((2) - (-9))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 (1,2) and (4,-9):

d = √((1) - (4))² + ((2) - (-9))²

d = √(-3)² + (11)²

d = √9 + 121

d = √130

d ≈ 11.4018

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