Questions: Write an equation of the line below.

Write an equation of the line below.
Transcript text: Write an equation of the line below.
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Solution

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Solution Steps

Step 1: Identify Two Points on the Line

From the graph, identify two points that the line passes through. Let's choose the points \((0, -1)\) and \((2, 1)\).

Step 2: Calculate the Slope

Use the slope formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\): \[ m = \frac{1 - (-1)}{2 - 0} = \frac{2}{2} = 1 \]

Step 3: Use the Point-Slope Form

Use the point-slope form of the equation \(y - y_1 = m(x - x_1)\) with one of the points, say \((0, -1)\): \[ y - (-1) = 1(x - 0) \] \[ y + 1 = x \]

Final Answer

\[ y = x - 1 \]

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