
Here we will show you how to find the distance between the points (-7,3) and (7,7) using a formula. In other words, you have the points (-7,3) 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 (-7,3) and (7,7) so it is easy to follow along:
(-7,3) and (7,7) = (x₁,y₁) and (x₂,y₂)
x₁ = -7
y₁ = 3
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 (-7,3) 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 (-7,3) and (7,7) into the formula, we get this:
d = √((-7) - (7))² + ((3) - (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 (-7,3) and (7,7):
d = √((-7) - (7))² + ((3) - (7))²
d = √(-14)² + (-4)²
d = √196 + 16
d = √212
d ≈ 14.5602
Distance Between Two Points Calculator
Need to calculate a similar problem? No problem! Go here to calculate the distance between another set of points.
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