Question

Find the distance between the points with the given coordinates (-4, 9) and (1, -3).

Answer 1

Answer: 13

Step-by-step explanation:

The formula for finding distance between two points is given by :

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

$x_{1}$ = -4

$x_{2}$ = 1

$y_{1}$ = 9

$y_{2}$ = -3

Substituting the values into the formula , we have :

D = $\sqrt{(1 -(-4))^{2} +(-3-9)^{2}}$

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

D = $\sqrt{25+144}$

D = $\sqrt{169}$

D = 13

Therefore : the distance between the points is 13