Graphing Lines Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run). It is often represented as 'm' in the equation of a line, y = mx + b.

Front

What is the slope of the line represented by the equation y = 3x - 5?

Back

The slope (m) is 3.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the y-intercept of the line represented by the equation y = 3x - 5?

Back

The y-intercept is (0, -5).

Front

What does it mean for two lines to be perpendicular?

Back

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

Front

If the slope of a line is 3, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line would be -1/3.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

Are the lines y = -1/3x - 5 and y = 1/3x + 2 parallel, perpendicular, or neither?

Back

Neither, because their slopes are -1/3 and 1/3, which are not equal and do not multiply to -1.

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line, where there is no change in y as x changes.

Front

What is the equation of a line with a zero slope?

Back

The equation of a line with a zero slope can be written as y = b, where b is a constant.