Linear Equations

Front

What does the graph of any linear equation in two variables form?

Back

A straight line.

Front

What does it mean for a relationship between x and y to be linear?

Back

Changes in x result in consistent changes in y, producing a straight path on the graph.

Front

How many solutions does a linear equation in two variables have?

Back

Infinitely many solutions.

Front

What does the slope of a line represent?

Back

The steepness of the line.

Front

How is the slope calculated?

Back

By dividing the change in y (rise) by the change in x (run).

Front

What does a positive slope indicate about the line?

Back

The line rises as you move to the right.

Front

What does a negative slope indicate about the line?

Back

The line falls as you move to the right.

Front

What does a zero slope indicate?

Back

A flat, horizontal line.

Front

What does an undefined slope indicate?

Back

A vertical line.

Front

What is one method to graph a linear equation?

Back

Graphing with two known points.