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QUESTION IMAGE

non-linear graphs graphs line: y = mx + b parabola: y = x² cubic : y = …

Question

non-linear graphs
graphs
line: y = mx + b
parabola: y = x²
cubic : y = x³
absolute value y = |x|

Explanation:

Step1: Identify the graph type

The given graph is a straight line. The equation for a straight line is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y - intercept. The other graphs (parabola \( y=x^{2} \), cubic \( y = x^{3} \), absolute value \( y=|x| \)) are non - linear. The red line in the coordinate plane is a straight line, so it should correspond to the linear equation \( y=mx + b \).

Answer:

The graph represents the line with equation \( y = mx + b \) (the linear graph among the given options).