Distance between the points (-1,9) and (5,0)

Distance between (-1,9) and (5,0)

Here we will show you how to find the distance between the points (-1,9) and (5,0) using a formula. In other words, you have the points (-1,9) and (5,0) 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 (-1,9) and (5,0) so it is easy to follow along:

(-1,9) and (5,0) = (x₁,y₁) and (x₂,y₂)

x₁ = -1
y₁ = 9
x₂ = 5
y₂ = 0

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 (-1,9) and (5,0), is as follows:

d = √(x₁ - x₂)² + (y₁ - y₂)²

The next step is to enter our points into the formula. When we enter (-1,9) and (5,0) into the formula, we get this:

d = √((-1) - (5))² + ((9) - (0))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 (-1,9) and (5,0):

d = √((-1) - (5))² + ((9) - (0))²

d = √(-6)² + (9)²

d = √36 + 81

d = √117

d ≈ 10.8167

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