
Here we will show you how to find the distance between the points (-7,4) and (-8,0) using a formula. In other words, you have the points (-7,4) and (-8,0) 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 (-7,4) and (-8,0) so it is easy to follow along:
(-7,4) and (-8,0) = (x₁,y₁) and (x₂,y₂)
x₁ = -7
y₁ = 4
x₂ = -8
y₂ = 0
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 (-7,4) and (-8,0), is as follows:
d = √(x₁ - x₂)² + (y₁ - y₂)²
The next step is to enter our points into the formula. When we enter (-7,4) and (-8,0) into the formula, we get this:
d = √((-7) - (-8))² + ((4) - (0))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 (-7,4) and (-8,0):
d = √((-7) - (-8))² + ((4) - (0))²
d = √(1)² + (4)²
d = √1 + 16
d = √17
d ≈ 4.1231
Distance Between Two Points Calculator
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