To find the slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\), you can use the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Given the points \((0, 10)\) and \((5, 15)\):
- \((x_1, y_1) = (0, 10)\)
- \((x_2, y_2) = (5, 15)\)
Now, plug in the values:
\[ m = \frac{15 - 10}{5 - 0} = \frac{5}{5} = 1 \]
The slope is \( 1 \).