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, you can find two or more points that satisfy the equation and plot them on a coordinate plane, then draw a straight line through those 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 can have one input that corresponds to multiple outputs.

Front

What does it mean for a graph to be a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once.

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 standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is the purpose of identifying the correct representation of a situation?

Back

Identifying the correct representation helps to understand and visualize the relationship between variables in real-world situations.

Front

How can you determine if a graph represents a linear equation?

Back

A graph represents a linear equation if it forms a straight line without any curves or breaks.