Find the distance between the points G(-5, 4)andH2, 6).The exact distance between the two points is

Answer :

The formula to calculate the distance between two points in the cartesian plane is the following:

[tex]\begin{gathered} d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2} \\ \end{gathered}[/tex]

replacing:

[tex]\begin{gathered} d=\sqrt{\left(2-(-5)\right)^2+\left(6-4\right)^2} \\ d=\sqrt{\left(7\right)^2+\left(2\right)^2} \\ d=\sqrt{49+4} \\ d=\sqrt{63} \\ d=7.94 \end{gathered}[/tex]

The distance between the two points is 7.94 units