Distance between the points (-2,4) and (6,-7)

Distance between (-2,4) and (6,-7)

Here we will show you how to find the distance between the points (-2,4) and (6,-7) using a formula. In other words, you have the points (-2,4) and (6,-7) 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 (-2,4) and (6,-7) so it is easy to follow along:

(-2,4) and (6,-7) = (x₁,y₁) and (x₂,y₂)

x₁ = -2
y₁ = 4
x₂ = 6
y₂ = -7

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 (-2,4) and (6,-7), is as follows:

d = √(x₁ - x₂)² + (y₁ - y₂)²

The next step is to enter our points into the formula. When we enter (-2,4) and (6,-7) into the formula, we get this:

d = √((-2) - (6))² + ((4) - (-7))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 (-2,4) and (6,-7):

d = √((-2) - (6))² + ((4) - (-7))²

d = √(-8)² + (11)²

d = √64 + 121

d = √185

d ≈ 13.6015

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