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What is the exact distance from (-5,1) to (3,0).

User Keijack
by
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1 Answer

4 votes

Answer:

The distance between the two points is
√(65) \ \text{units}.

Explanation:

In order to find the distance between two coordinate pairs, we can use the distance formula:


\displaystyle \bullet \ \ \ d = √((x_2-x_1)^2+(y_2-y_1)^2)

Our coordinate pairs need to be labeled accordingly, so we can use this naming system:


\bullet \ \ \ (x_1, y_1), (x_2, y_2)

This assigns a name to our points:


  • x_1 = -5

  • y_1 = 1

  • x_2 = 3

  • y_2 = 0

Therefore, we can plug these into the formula and solve:


d=√((3-(-5))^2+(0-1)^2)\\\\d=√((8)^2+(-1)^2)\\\\d=√(8^2+1^2)\\\\d=√(64+1)\\\\d=√(65)

Therefore, the distance between the two points is
√(65) \ \text{units}.

User Deg
by
7.1k points