First, you have to draw your cartesian coordinates.
Once you draw your cartesian plane, you have to locate the points.
The first one M(-5,8) is located in the second quadrant.
The second one is located in the fourth quadrant.
Once you hace your drawing, you can use a ruler to find the distance.
It is worth noting that with this approach you need to use a ruler and that the drawing should be very well done.
The algebraic approach to solve this problem is more straightforward.
Remember that the distance between two points is:
[tex]d(M,N)=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2_{}}[/tex]Then, in this case.
[tex]\begin{gathered} d(M,N)=\sqrt[]{(-5-9)^2+(8-(-2))^2} \\ =\sqrt[]{(-14)^2+(10)^2} \\ =\sqrt[]{196+100} \\ =\sqrt[]{296} \\ =17.2 \end{gathered}[/tex]
