Question

The distance between the points (–4, 7) and (1, –5) is ___ units.

• A. $\sqrt{13}$
• B. 13
• C. $\sqrt{1}4$
• D. 14

Answer 1

The correct option is B

13

Distance between points $(x_1,y_1)$ and $(x_2,y_2)$ = $\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$

$\Rightarrow$ Distance between the points (–4, 7) and (1, –5)

$=\sqrt{(1-(-4){)}^2+(-5-7{)}^2}$

$=\sqrt{5^2+(12{)}^2}$

$=\sqrt{169}$

$=13units$