Distance between the points (-4,-2) and (9,1)

Distance between (-4,-2) and (9,1)

Here we will show you how to find the distance between the points (-4,-2) and (9,1) using a formula. In other words, you have the points (-4,-2) and (9,1) 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,-2) and (9,1) so it is easy to follow along:

(-4,-2) and (9,1) = (x₁,y₁) and (x₂,y₂)

x₁ = -4
y₁ = -2
x₂ = 9
y₂ = 1

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,-2) and (9,1), 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,-2) and (9,1) into the formula, we get this:

d = √((-4) - (9))² + ((-2) - (1))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,-2) and (9,1):

d = √((-4) - (9))² + ((-2) - (1))²

d = √(-13)² + (-3)²

d = √169 + 9

d = √178

d ≈ 13.3417

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