Question

Find the distance between the points (7,-1) and (5,9)

Answer 1

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Answer:  $\textsf{10.198 units}$

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Given: $\textsf{Points (7, -1) and (5, 9)}$

Find: $\textsf{Determine the distance between the two points}$

Solution:  In order to find the distance we need to use the distance formula, plug in the values, and simplify the expression.

Plug in the values

• $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

• $d = \sqrt{(5 - 7)^2 + (9 - (-1))^2}$

Simplify the expression

• $d = \sqrt{(-2)^2 + (9 + 1)^2}$

• $d = \sqrt{4+ (10)^2}$

• $d = \sqrt{4 + 100}$

• $d = \sqrt{104}$

• $d = 10.198$

After simplifying the expression we were able to determine that the distance between the two points is 10.198 units.