Distance between the points (7,-1) and (-2,4)

Distance between (7,-1) and (-2,4)

Here we will show you how to find the distance between the points (7,-1) and (-2,4) using a formula. In other words, you have the points (7,-1) and (-2,4) 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 (7,-1) and (-2,4) so it is easy to follow along:

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

x₁ = 7
y₁ = -1
x₂ = -2
y₂ = 4

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

d = √(x₁ - x₂)² + (y₁ - y₂)²

The next step is to enter our points into the formula. When we enter (7,-1) and (-2,4) into the formula, we get this:

d = √((7) - (-2))² + ((-1) - (4))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 (7,-1) and (-2,4):

d = √((7) - (-2))² + ((-1) - (4))²

d = √(9)² + (-5)²

d = √81 + 25

d = √106

d ≈ 10.2956

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