Question

Find the distance from M to N on the coordinate plane if M(-5,8) and N(9,-2). V MALIGTranh tranhain vou colution

Answer 1

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:

`d(M,N)=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2_{}}`

Then, in this case.

`\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}`