Questions: Find the slope of the line graphed below.

Transcript text: Find the slope of the line graphed below.

Solution

Solution Steps

Step 1: Identify two points on the line.

Two points on the line are $(0.5, -1)$ and $(2.5, 4)$.

Step 2: Calculate the slope.

The slope $m$ of a line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $m = \frac{y_2 - y_1}{x_2 - x_1}$. Using the points $(0.5, -1)$ and $(2.5, 4)$, we have $m = \frac{4 - (-1)}{2.5 - 0.5} = \frac{5}{2}$.

Final Answer The final answer is $\boxed{5/2}$

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