
Here we will show you how to find the distance between the points (-4,-2) and (9,-2) using a formula. In other words, you have the points (-4,-2) and (9,-2) 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,-2) so it is easy to follow along:
(-4,-2) and (9,-2) = (x₁,y₁) and (x₂,y₂)
x₁ = -4
y₁ = -2
x₂ = 9
y₂ = -2
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,-2), 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,-2) into the formula, we get this:
d = √((-4) - (9))² + ((-2) - (-2))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,-2):
d = √((-4) - (9))² + ((-2) - (-2))²
d = √(-13)² + (0)²
d = √169 + 0
d = √169
d = 13
Distance Between Two Points Calculator
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