Vertical and Horizontal Lines

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = a, where 'a' is a constant.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = b, where 'b' is a constant.

Front

What does it mean for a line to have an undefined slope?

Back

A line has an undefined slope if it is vertical, meaning it goes straight up and down.

Front

What does it mean for a line to have a zero slope?

Back

A line has a zero slope if it is horizontal, meaning it goes straight across.

Front

What is the slope of the line represented by the equation y = 3?

Back

The slope is 0, indicating a horizontal line.

Front

What is the slope of the line represented by the equation x = -4?

Back

The slope is undefined, indicating a vertical line.

Front

How do you determine if a line is vertical or horizontal from its equation?

Back

If the equation is of the form x = a, it is vertical. If it is of the form y = b, it is horizontal.

Front

What is the significance of the point (0, b) in the equation y = b?

Back

It represents the y-intercept of the line, where the line crosses the y-axis.

Front

What is the significance of the point (a, 0) in the equation x = a?

Back

It represents the x-intercept of the line, where the line crosses the x-axis.

Front

Can a line be both vertical and horizontal?

Back

No, a line cannot be both vertical and horizontal; they are mutually exclusive.