Question

Find the midpoint between the points (6, 2) and (9, 4)

Answer 1

(15/2, 3) or (7.5, 3)

Explanation:

To find the midpoint between two points, you can use the midpoint formula

midpoint =
`\(\left((x_1 + x_2)/(2), (y_1 + y_2)/(2)\right)\)`

In this case, the two points are (6, 2) and (9, 4).

So,
`\(x_1 = 6\), \(y_1 = 2\), \(x_2 = 9\), and \(y_2 = 4\).`

Now, plug these values into the formula:

`Midpoint = \(\left((6 + 9)/(2), (2 + 4)/(2)\right)\)Midpoint = \(\left((15)/(2), (6)/(2)\right)\)`

Then, simplify.

`Midpoint = \(\left((15)/(2), 3\right)\)`

So, the midpoint between the points (6, 2) and (9, 4) is
`\(\left((15)/(2), 3\right)\)` or (7.5,3)

(I am never using equation again!)

Answer 2

`(7(1)/(2) ,3)`

Explanation:

to find midpoint of (x₁, y₁) & (x₂, y₂):

`x=(x_1+x_2)/(2)`

`y=(y_1+y_2)/(2)`

`x=(6+9)/(2)`

`=7(1)/(2)`

`y=(2+4)/(2)`

`=3`

coordinate of midpoint =
`(7(1)/(2) ,3)`