Questions: Find a formula for the linear function depicted in the following graph. f(x)=

Find a formula for the linear function depicted in the following graph. f(x)=
Transcript text: Find a formula for the linear function depicted in the following graph. f(x)=
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Solution

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Solution Steps

Step 1: Identify the Points on the Graph

Identify two points on the line from the graph. The points are (-5, -5) and (5, 5).

Step 2: Calculate the Slope

Use the slope formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \): \[ m = \frac{5 - (-5)}{5 - (-5)} = \frac{10}{10} = 1 \]

Step 3: Use the Point-Slope Form to Find the Equation

Use the point-slope form \( y - y_1 = m(x - x_1) \) with one of the points, say (-5, -5): \[ y - (-5) = 1(x - (-5)) \] \[ y + 5 = x + 5 \] \[ y = x \]

Final Answer

\[ f(x) = x \]

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