3.6 Equations of Lines; Slope-Intercept & Standard Form

Front

What is the slope-intercept form of a linear equation?

Back

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the standard form of a linear equation?

Back

Front

Back

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

If the slope of a line is 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

If the slope of a line is undefined, what does that indicate about the line?

Back

An undefined slope indicates a vertical line.

Front

Back

The lines are parallel because they have the same slope of 4.

Front

Back

The lines are perpendicular because the product of their slopes (-1/2 and 2) is -1.