What is the distance between (3,-5) and (2,-2)?

1 Answer
Jan 1, 2016

distance =color(blue)(sqrt(10

Explanation:

The points are

(3,-5) = color(blue)(x_1,y_1

(2,-2) = color(blue)(x_2,y_2

Distance is calculated using formula

distance =sqrt((x_2-x_1)^2 + (y_2-y_1)^2

=sqrt((2-3)^2 + (-2-(-5))^2

=sqrt((-1)^2 + (-2+5)^2

=sqrt((1 + (3)^2

=sqrt(1 + 9

distance =color(blue)(sqrt(10