Questions: Calculate the slope of the curve between points B and C.

Calculate the slope of the curve between points B and C.
Transcript text: Calculate the slope of the curve between points B and C.
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Solution

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Solution Steps

Step 1: Identify the coordinates of points B and C.

Point B has coordinates (50, 10). Point C has coordinates (70, 30).

Step 2: Apply the slope formula.

The slope formula is given by: \(m = \frac{y_2 - y_1}{x_2 - x_1}\) where \(m\) is the slope, \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of two points on the line.

In this case, we have: \(x_1 = 50\), \(y_1 = 10\) \(x_2 = 70\), \(y_2 = 30\)

Plugging these values into the slope formula, we get: \(m = \frac{30 - 10}{70 - 50}\) \(m = \frac{20}{20}\) \(m = 1\)

Final Answer

The slope of the curve between points B and C is \(\boxed{1}\).

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