To find the slope between the points \((2, 5)\) and \((3, 7)\), you can use the formula for the slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
In this case, we have:
- \(x_1 = 2\), \(y_1 = 5\)
- \(x_2 = 3\), \(y_2 = 7\)
Now substitute these values into the slope formula:
\[ m = \frac{7 - 5}{3 - 2} = \frac{2}{1} = 2 \]
So, the slope between the points (2, 5) and (3, 7) is \(2\).