
Here we will show you how to find the distance between the points (5,9) and (-7,7) using a formula. In other words, you have the points (5,9) and (-7,7) 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 (5,9) and (-7,7) so it is easy to follow along:
(5,9) and (-7,7) = (x₁,y₁) and (x₂,y₂)
x₁ = 5
y₁ = 9
x₂ = -7
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 (5,9) and (-7,7), is as follows:
d = √(x₁ - x₂)² + (y₁ - y₂)²
The next step is to enter our points into the formula. When we enter (5,9) and (-7,7) into the formula, we get this:
d = √((5) - (-7))² + ((9) - (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 (5,9) and (-7,7):
d = √((5) - (-7))² + ((9) - (7))²
d = √(12)² + (2)²
d = √144 + 4
d = √148
d ≈ 12.1655
Distance Between Two Points Calculator
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