Question

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

Explanation:

Step1: Analyze the graph's shape

The graph is a straight line, which matches the form of a linear equation \( y = mx + b \) (where \( m \) is the slope and \( b \) is the y - intercept). The other graphs (parabola \( y = x^{2} \), cubic \( y = x^{3} \), absolute value \( y=\vert x\vert \)) are non - linear. The parabola is a U - shaped curve, the cubic has a more complex curved shape, and the absolute value graph has a V - shape.

Step2: Match with the given equations

Since the graph is a straight line, it corresponds to the equation of a line \( y=mx + b \).

Answer:

Line (\( y = mx + b \))