Questions: Find the slope of the graphed line.

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

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Solution Steps

Step 1: Identify two points on the line

From the graph, we can identify two points on the line. Let's choose the points where the line crosses the grid:

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

Final Answer

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

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