Distance between the points (2,-3) and (-4,0)

Distance between (2,-3) and (-4,0)

Here we will show you how to find the distance between the points (2,-3) and (-4,0) using a formula. In other words, you have the points (2,-3) and (-4,0) 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 (2,-3) and (-4,0) so it is easy to follow along:

(2,-3) and (-4,0) = (x₁,y₁) and (x₂,y₂)

x₁ = 2
y₁ = -3
x₂ = -4
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 (2,-3) and (-4,0), is as follows:

d = √(x₁ - x₂)² + (y₁ - y₂)²

The next step is to enter our points into the formula. When we enter (2,-3) and (-4,0) into the formula, we get this:

d = √((2) - (-4))² + ((-3) - (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 (2,-3) and (-4,0):

d = √((2) - (-4))² + ((-3) - (0))²

d = √(6)² + (-3)²

d = √36 + 9

d = √45

d ≈ 6.7082

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