Respuesta :
Answer: [tex]M=(7,2)[/tex]
Step-by-step explanation:
You need to use the following formula:
[tex]M=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})[/tex]
Given the points A(6,3) and B(8,1), you can identify that:
[tex]x_A=6\\x_B=8\\y_A=3\\y_B=1[/tex]
Now, you can substitute these values into the formula [tex]M=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})[/tex].
Therefore, you get this result:
[tex]M=(\frac{6+8}{2},\frac{3+1}{2})[/tex]
[tex]M=(7,2)[/tex]
ANSWER
The midpoint is (7,2)
EXPLANATION
The midpoint is calculated using the formula:
[tex]M(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
The x-coordinate of the midpoint is given by
[tex]x = \frac{6 + 8}{2} [/tex]
[tex]x = \frac{14}{2} = 7[/tex]
The y-coordinate of the midpoint is given by:
[tex]y = \frac{3 + 1}{2} [/tex]
[tex]y = \frac{4}{2} = 2[/tex]
The midpoint is (7,2)