To determine the slope between the two given points, we can use the formula for slope, which is:
\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \]
In this case, the points are:
- Point 1: (0,0) → \(x_1 = 0\), \(y_1 = 0\)
- Point 2: (6,6) → \(x_2 = 6\), \(y_2 = 6\)
Now, substituting the values into the formula, we have:
\[ \text{slope} = \frac{6 - 0}{6 - 0} = \frac{6}{6} = 1 \]
The slope is positive because the line increases as you move from left to right on the graph.
So, the correct answer is:
O The slope is positive because the line increases as you move from left to right on the graph.