Distance between the points (4,-8) and (-9,4)

Distance between (4,-8) and (-9,4)

Here we will show you how to find the distance between the points (4,-8) and (-9,4) using a formula. In other words, you have the points (4,-8) and (-9,4) 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 (4,-8) and (-9,4) so it is easy to follow along:

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

x₁ = 4
y₁ = -8
x₂ = -9
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 (4,-8) and (-9,4), is as follows:

d = √(x₁ - x₂)² + (y₁ - y₂)²

The next step is to enter our points into the formula. When we enter (4,-8) and (-9,4) into the formula, we get this:

d = √((4) - (-9))² + ((-8) - (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 (4,-8) and (-9,4):

d = √((4) - (-9))² + ((-8) - (4))²

d = √(13)² + (-12)²

d = √169 + 144

d = √313

d ≈ 17.6918

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