Subjects algebra

Slope Start 795Aae

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1. The problem is to find the slope of the line shown on the graph at the Start box, which is given as $\frac{3}{7}$. We will explain what slope means and how to interpret it. 2. The slope of a line is defined as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line. It is given by the formula: $$\text{slope} = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. In this problem, the slope is already provided for each graph. For the Start box, the slope is $\frac{3}{7}$, which means for every 7 units moved horizontally, the line rises 3 units vertically. 4. Since the problem asks to find the slope of the line shown on the graph at the Start box, the answer is simply: $$\boxed{\frac{3}{7}}$$ 5. This slope can be used to navigate through the maze by following arrows labeled with slopes that match the slopes of adjacent graphs. This completes the solution for the first question about the slope at the Start box.