Questions: Find the slope of the line graphed below.

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

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Solution Steps

Step 1: Identify two points on the line.

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

Step 2: Calculate the slope.

The slope mm of a line passing through points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}. Using the points (0.5,−1)(0.5, -1) and (2.5,4)(2.5, 4), we have m=4−(−1)2.5−0.5=52m = \frac{4 - (-1)}{2.5 - 0.5} = \frac{5}{2}.

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

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