Parallel and Perpendicular Slopes

Front

What is the slope of a line in the equation y = mx + b?

Back

The slope (m) represents the steepness of the line, indicating how much y changes for a unit change in x.

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

If the slope of one line is m = 2, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it is also m = 2.

Front

What is the slope of a line perpendicular to a line with slope m = 3?

Back

The slope of a line perpendicular to it is m = -1/3 (the negative reciprocal of 3).

Front

How can you determine if two lines are perpendicular using their slopes?

Back

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

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of 0, what type of line is it?

Back

A line with a slope of 0 is a horizontal line.

Front

What is the significance of the y-intercept in the equation of a line?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the relationship between the slopes of two lines that are neither parallel nor perpendicular?

Back

The slopes of two lines that are neither parallel nor perpendicular do not have a specific relationship; they can be any values.