3.4-3.5 Parallel and Perpendicular Lines

Front

What is the slope of a line that is perpendicular to a line with a slope of -6?

Back

The slope of a line that is perpendicular to a line with a slope of -6 is \frac{1}{6}.

Front

What is the slope of a line that is parallel to a line with a slope of \frac{5}{7}?

Back

The slope of a line that is parallel to a line with a slope of \frac{5}{7} is also \frac{5}{7}.

Front

What does it mean for two lines to be parallel?

Back

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

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

Given the equation of a line, how can you determine if another line is parallel to it?

Back

To determine if another line is parallel, check if it has the same slope as the given line.

Front

Given the equation of a line, how can you determine if another line is perpendicular to it?

Back

To determine if another line is perpendicular, check if the product of their slopes equals -1.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

Front

If two lines have equations \(y = 3x + 2\) and \(y = 3x - 3\), what can be said about their relationship?

Back

These lines are parallel because they have the same slope of 3.

Front

If two lines have equations \(y = -\frac{2}{3}x + 2\) and \(y = \frac{3}{2}x + 9\), what can be said about their relationship?

Back

These lines are perpendicular because the product of their slopes (-\frac{2}{3} and \frac{3}{2}) is -1.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is \(Ax + By + C = 0\), where A, B, and C are constants.