To find the distance between two points \( A(1, 9) \) and \( B(14, 17) \) on a graph, you can use the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Substituting the coordinates of points A and B into the formula, where \( A (x_1, y_1) = (1, 9) \) and \( B (x_2, y_2) = (14, 17) \):
\[ d = \sqrt{(14 - 1)^2 + (17 - 9)^2} \]
Calculating each component:
\[ d = \sqrt{(13)^2 + (8)^2} \] \[ d = \sqrt{169 + 64} \] \[ d = \sqrt{233} \]
Now, calculating \( \sqrt{233} \):
\[ \sqrt{233} \approx 15.231 \]
Rounding to the nearest tenth, the distance between points A and B is approximately:
\[ \boxed{15.2} \]
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