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Question
describe the behavior of the graph below.
Step1: Identify the type of graph
It is a straight - line graph, so it represents a linear function.
Step2: Determine the slope
The line is slanting downwards from left to right, so the slope \(m<0\).
Step3: Analyze the intercepts
The line crosses the \(y\) - axis above the origin (\(y\) - intercept is positive) and the \(x\) - axis to the right of the origin (\(x\) - intercept is positive).
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The graph represents a linear function with a negative slope. As \(x\) increases, \(y\) decreases. The line intersects the \(y\) - axis at a positive value and the \(x\) - axis at a positive value.