Graphing Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (upward or downward).

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis. It is the value of y when x is 0.

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the y-intercept, plot it on the graph, then use the slope to find another point and draw a straight line through the points.

Front

What is the difference between a function and a non-function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value). A non-function has at least one input with multiple outputs.

Front

What does it mean for a graph to be a representation of a situation?

Back

A graph represents a situation when it accurately depicts the relationship between two variables based on real-world data or scenarios.

Front

What is a table of values in relation to linear equations?

Back

A table of values lists pairs of x and y coordinates that satisfy a linear equation, showing how y changes as x changes.

Front

What is the purpose of identifying the correct graph for a situation?

Back

Identifying the correct graph helps visualize the relationship between variables and understand how changes in one affect the other.

Front

What does it mean for a representation to NOT reflect a situation?

Back

A representation does NOT reflect a situation if it inaccurately depicts the relationship between variables or does not follow the rules of the linear equation.

Front

How can you tell if a table represents a linear relationship?

Back

A table represents a linear relationship if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.