3.4-3.5 Parallel and Perpendicular Lines

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

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

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

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

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

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

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

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

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

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