Distance between the points (-3,5) and (7,-6)

Distance between (-3,5) and (7,-6)

Here we will show you how to find the distance between the points (-3,5) and (7,-6) using a formula. In other words, you have the points (-3,5) and (7,-6) 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 (-3,5) and (7,-6) so it is easy to follow along:

(-3,5) and (7,-6) = (x₁,y₁) and (x₂,y₂)

x₁ = -3
y₁ = 5
x₂ = 7
y₂ = -6

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 (-3,5) and (7,-6), is as follows:

d = √(x₁ - x₂)² + (y₁ - y₂)²

The next step is to enter our points into the formula. When we enter (-3,5) and (7,-6) into the formula, we get this:

d = √((-3) - (7))² + ((5) - (-6))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 (-3,5) and (7,-6):

d = √((-3) - (7))² + ((5) - (-6))²

d = √(-10)² + (11)²

d = √100 + 121

d = √221

d ≈ 14.8661

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