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=y2−y1x2−x1 m = \frac{y_2 - y_1}{x_2 - x_1} : m=5−(−5)5−(−5)=1010=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−y1=m(x−x1) y - y_1 = m(x - x_1) with one of the points, say (-5, -5): y−(−5)=1(x−(−5)) y - (-5) = 1(x - (-5)) y+5=x+5 y + 5 = x + 5 y=x y = x

Final Answer

f(x)=x f(x) = x

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