Questions: Find the slope of the line. (If an answer is undefined, enter UNDEFINED.)

Transcript text: Find the slope of the line. (If an answer is undefined, enter UNDEFINED.)

Solution

Solution Steps

Step 1: Identify Two Points on the Line

From the graph, identify two points through which the line passes. Let's choose the points (-5, 0) and (5, 5).

Step 2: Use 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 3: Substitute the Coordinates into the Slope Formula

Substitute the coordinates of the points (-5, 0) and (5, 5) into the formula: \[ m = \frac{5 - 0}{5 - (-5)} = \frac{5}{5 + 5} = \frac{5}{10} = \frac{1}{2} \]

Final Answer

The slope of the line is \(\frac{1}{2}\).

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