Linear Vs Non Linear (Graphs)

Front

What is a linear graph?

Back

A linear graph is a graph that represents a linear equation, which has a constant rate of change and forms a straight line when plotted on a coordinate plane.

Front

What is a non-linear graph?

Back

A non-linear graph represents a non-linear equation, which does not have a constant rate of change and can form curves or other shapes when plotted.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear graph represent?

Back

The slope of a linear graph represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

How can you identify a linear graph from a table of values?

Back

A linear graph can be identified from a table of values if the differences between consecutive y-values are constant for equal intervals of x.

Front

What is an example of a non-linear equation?

Back

An example of a non-linear equation is y = x^2, which represents a parabola.

Front

How do you determine if a graph is linear or non-linear?

Back

You can determine if a graph is linear or non-linear by checking if it forms a straight line (linear) or a curve (non-linear) when plotted.

Front

What is the significance of a linear relationship in real life?

Back

A linear relationship indicates a constant rate of change, which can be seen in scenarios like speed (distance over time) or cost (price per item).

Front

What are some common shapes of non-linear graphs?

Back

Common shapes of non-linear graphs include parabolas, circles, and exponential curves.