Question

Find the midpoint of the line segment whose end points are given

Answer 1

You can find the Midpoint with the following formula:

`M=((x_1+x_2)/(2),(y_1+y_2)/(2))`

For this case you have the following endpoints of the segment:

`(3,(9)/(5));(4,(7)/(5))`

Let's write the fractions in decimal form. To do it, you need to divide the numerator by the denominator. Then:

`\begin{gathered} (9)/(5)=1.8 \\ \\ (7)/(5)=1.4 \end{gathered}`

So you can rewrite the endpoints:

`(3,1.8);(4,1.4)`

You can set up that:

`\begin{gathered} x_1=3 \\ x_2=4 \\ y_1=1.8 \\ y_2=1.4 \end{gathered}`

Now you can substitute these coordinates into the formula:

`M=(\frac{3_{}+4_{}}{2},\frac{1.8_{}+1.4_{}}{2})`

Evaluating, you get that the Midpoint of the line segment is:

`\begin{gathered} M=((7)/(2),(3.2)/(2)) \\ M=(3.5,1.6) \end{gathered}`