Question

Find the distance between the points ( – 9, – 4) and ( – 4,8).

Answer 1

Answer:

$Distance=13\ units$

Step-by-step explanation:

Distance between two points: Distance between two pints $(x_1,y_1)\ and\ (x_2,y_2)$ is given by

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

Distance between $(-9,-4)\ and\ (-4,8).$

$d=\sqrt{(-4-(-9))^2+(8-(-4))^2}\\\\d=\sqrt{(-4+9)^2+(8+4)^2}\\\\d=\sqrt{(5)^2+(12)^2}=\sqrt{25+144}\\\\d=\sqrt{169}\\\\d=13$