Questions: Finding the Slope of a Line on a Graph What is the slope of the line on the graph? O 1 X 1/2 O 2 O 3

 Finding the Slope of a Line on a Graph

What is the slope of the line on the graph?
O 1
X 1/2
O 2
O 3
Transcript text: Finding the Slope of a Line on a Graph What is the slope of the line on the graph? O 1 X 1/2 O 2 O 3
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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. From the graph, we can see that the line passes through the points (0, 0) and (2, 1).

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 the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Step 3: Substitute the Points into the Formula

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

Final Answer

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

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