The coordinates of the point UU are left parenthesis, 9, comma, minus, 1, right parenthesis(9,−1) and the coordinates of point VV are left parenthesis, 2, comma, minus, 1, right parenthesis, .(2,−1). What is the distance, in units, between the point UU and point V, question markV?

Answer 1

To find the distance between the two points \( U(9, -1) \) and \( V(2, -1) \), we can use the distance formula:

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

Here,

• \( U(9, -1) \) corresponds to \( (x_1, y_1) = (9, -1) \).
• \( V(2, -1) \) corresponds to \( (x_2, y_2) = (2, -1) \).

Plugging in the coordinates into the formula:

\[ d = \sqrt{(2 - 9)^2 + (-1 - (-1))^2} \]

Calculating the differences:

\[ d = \sqrt{(-7)^2 + (0)^2} \]

Calculating the squares:

\[ d = \sqrt{49 + 0} \]

Simplifying:

\[ d = \sqrt{49} = 7 \]

Thus, the distance between the point \( U \) and the point \( V \) is \( 7 \) units.