Geo 3.3

Front

What is the slope of a line?

Back

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

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope. For example, if line AB has a slope of 5, any line with a slope of 5 is parallel to line AB.

Front

How do you determine if two lines are perpendicular?

Back

Front

What does it mean for lines to be neither parallel nor perpendicular?

Back

Lines are neither parallel nor perpendicular if their slopes are different and do not satisfy the condition for perpendicularity (the product of their slopes is not -1).

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a line?

Back

The y-intercept of a line is the point where the line crosses the y-axis, represented by the value of 'b' in the slope-intercept form (y = mx + b).

Front

How can you find the slope between two points?

Back

The slope between two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the significance of a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x remains constant while y changes.

Front

What is the relationship between slopes of parallel lines?

Back

The slopes of parallel lines are equal. For example, if line AB has a slope of 3, any line parallel to it will also have a slope of 3.