Question

Find the distance between the points (4,3) and (2,-1). Express your answer in simplest radical form.

Answer 1

Answer : B

the distance between the points (4,3) and (2,-1)

We apply distance formula

$d^2= (x_2-x1)^2 + (y_2-y_1)^2$

(x1,y1) is (4,3)

(x2,y2) is (2,1)

$d^2= (2-4)^2 + (-1-3)^2$

$d^2= (-2)^2 + (-4)^2$

d^2 = 4+16 = 20

Take square root on both sides

So  $d=2\sqrt{5}$

the distance between the points (4,3) and (2,-1) is 2sqrt(5)