Distance between the points (-5,4) and (3,-5)

Distance between (-5,4) and (3,-5)

Here we will show you how to find the distance between the points (-5,4) and (3,-5) using a formula. In other words, you have the points (-5,4) and (3,-5) 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 (-5,4) and (3,-5) so it is easy to follow along:

(-5,4) and (3,-5) = (x₁,y₁) and (x₂,y₂)

x₁ = -5
y₁ = 4
x₂ = 3
y₂ = -5

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 (-5,4) and (3,-5), is as follows:

d = √(x₁ - x₂)² + (y₁ - y₂)²

The next step is to enter our points into the formula. When we enter (-5,4) and (3,-5) into the formula, we get this:

d = √((-5) - (3))² + ((4) - (-5))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 (-5,4) and (3,-5):

d = √((-5) - (3))² + ((4) - (-5))²

d = √(-8)² + (9)²

d = √64 + 81

d = √145

d ≈ 12.0416

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