To determine the distance between the two points we need to use the following expression:
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Where (x1,y1) and (x2,y2) are the coordinates for the two points. The ones that were given to us were: (6,-5) and (-1,-4).
[tex]\begin{gathered} d=\sqrt[]{(6-(-1))^2+(-5-(-4))^2} \\ d=\sqrt[]{(6+1)^2+(-5+4)^2} \\ d=\sqrt[]{7^2+(-1)^2} \\ d=\sqrt[]{49+1}=\sqrt[]{50}=7.07 \end{gathered}[/tex]
The distance between the points is approximately 7.1
