Question

Find the distance between the points (5, 3) and (7,6).

Answer 1

Answer:

$d = \sqrt{13}$

Step-by-step explanation:

Use the Distance Formula to help you determine the distance between the two following points:

-Distance Formula:

$d = \sqrt{(x_{2} - x_{1})^2 + ( y_{2} - y_{1})^2}$

(where $(x_{1}, y_{1})$ represents the first point and $(x_{2}, y_{2})$ represents the second point)

-Apply the two following points onto that equation:

$d = \sqrt{(7 - 5)^2 + (6 - 3)^2}$

$(x_{1}, y_{1}) = (5, 3)$

$(x_{2}, y_{2}) = (7, 6)$

-Solve the equation:

$d = \sqrt{(7 - 5)^2 + (6 - 3)^2}$

$d = \sqrt{2^2 + 3^2}$

$d = \sqrt{4 + 9}$

$d = \sqrt{13}$

So therefore, the distance is $\sqrt{13}$.