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Question
question 2 (fill in the blank with an integer.) what is the equation for this graph? y = | x|
Step1: Identify vertex and a point
Vertex is $(0,0)$. Take a point $(5,5)$ on the graph.
Step2: Substitute into absolute value form
The general form is $y = |kx|$. Substitute $(5,5)$:
$5 = |k \times 5|$
Step3: Solve for k
Simplify: $|5k| = 5$ → $5k = 5$ (since slope is positive) → $k=1$
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$y = |1x|$ (or simplified as $y = |x|$, the blank integer is 1)