Sovi.AI - AI Math Tutor

Scan to solve math questions

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 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 graph shown has a constant slope (since it's a straight line), which matches the form of a linear equation \( y=mx + b \).

Step2: Confirm with the options

Among the given options (Line, Parabola, Cubic, Absolute Value), the graph is a line, so it corresponds to the equation \( y = mx + b \).

Answer:

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