To find the distance between the points (1, 7) and (6, 2), we use the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Where \((x_1, y_1) = (1, 7)\) and \((x_2, y_2) = (6, 2)\).
Substituting in the coordinates:
\[ d = \sqrt{(6 - 1)^2 + (2 - 7)^2} \]
Calculating the differences:
\[ d = \sqrt{(5)^2 + (-5)^2} \]
Calculating the squares:
\[ d = \sqrt{25 + 25} \]
Adding:
\[ d = \sqrt{50} \]
Calculating the square root:
\[ d \approx 7.071 \]
Rounding to the nearest tenth:
\[ d \approx 7.1 \]
Therefore, the distance between the two points is 7.1 units.