Questions: Estimate the slope of the line from its graph. Express numbers as integers or simplified fractions. Select "Undefined" if applicable. The slope is .

Estimate the slope of the line from its graph. Express numbers as integers or simplified fractions. Select "Undefined" if applicable.

The slope is .
Transcript text: Estimate the slope of the line from its graph. Express numbers as integers or simplified fractions. Select "Undefined" if applicable. The slope is $\square$.
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Solution

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Solution Steps

Step 1: Identify Two Points on the Line

To find the slope of the line, we first need to identify two points on the line. Let's choose the points where the line intersects the grid lines for simplicity.

Step 2: Determine the Coordinates of the Points

Assume the two points we identified are \((x_1, y_1)\) and \((x_2, y_2)\). For example, let's say the points are \((1, 2)\) and \((3, 4)\).

Step 3: Apply the Slope Formula

The slope \(m\) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Step 4: Substitute the Coordinates into the Formula

Substitute the coordinates of the points into the slope formula: \[ m = \frac{4 - 2}{3 - 1} = \frac{2}{2} = 1 \]

Final Answer

The slope of the line is \(1\).

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