To find the slope \( m \) between the two points \((-2, 5)\) and \((7, 11)\), you can use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Where \( (x_1, y_1) \) are the coordinates of the first point and \( (x_2, y_2) \) are the coordinates of the second point. Plugging in the coordinates:
- \( x_1 = -2 \)
- \( y_1 = 5 \)
- \( x_2 = 7 \)
- \( y_2 = 11 \)
Now substituting these values into the formula:
\[ m = \frac{11 - 5}{7 - (-2)} = \frac{6}{7 + 2} = \frac{6}{9} = \frac{2}{3} \]
Thus, the slope between the points \((-2, 5)\) and \((7, 11)\) is \(\frac{2}{3}\).