Question

Find the distance between the points

(ii) A(7,-4)and B(-5,1)

Answer 1

A(7,-4)and B(-5,1)
The given points are A(7,-4)and B(-5,1)

${\displaystyle Then,(x_1=7,y_1=-4)\text{and}(x_2=-5,y_2=1)}$

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

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

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

${\displaystyle =\sqrt{{(-12)}^2+{\left(5\right)}^2}}$

${\displaystyle =\sqrt{144+25}}$

${\displaystyle =\sqrt{169}}$

=13 units

${\displaystyle =\sqrt{144+25}}$

${\displaystyle =\sqrt{169}}$

=13 units