Question

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary. Hint: Use the Pythagorean Theorem 9-13. Use Distance Formula 13-16

Answer 1

The distance between two points can be found through the formula

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

first, identify the two points: (3,-2) & (5,-4)

then, replace in the formula

$\begin{gathered} d=\sqrt[]{(5-3)^2+(-4-(-2))^2} \\ d=\sqrt[]{(2)^2+(-2)^2} \end{gathered}$

simplify the expression

$\begin{gathered} d=\sqrt[]{4+4} \\ d=\sqrt[]{8} \\ d=2\sqrt[]{2}\cong2.8\cong \end{gathered}$