To the nearest tenth, what is the distance between the points (2, 2/3) and (-7, 4)?

To find the distance between the points (2, 2/3) and (-7, 4), we can use the distance formula, which is given by:

[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} ]

Here, the coordinates of the two points are:

• ( (x_1, y_1) = (2, \frac{2}{3}) )

• ( (x_2, y_2) = (-7, 4) )

Plugging the values into the formula:

1. Calculate ( x_2 - x_1 ):

[

-7 - 2 = -9

]

2. Square it:

[

(-9)^2 = 81

]

3. Calculate ( y_2 - y_1 ):

[

4 - \frac{2}{3}

]

To perform the subtraction, convert 4 to a fraction:

[

4 = \frac{12}{3} \quad \Rightarrow \quad \frac{12}{3} - \frac{