Parallel and Perpendicular Lines
are lines whose slopes are negative
reciprocals (in other words, the product of their slopes is negative 1.) Perpendicular linesFor example, given the line _{
} , determine that _{
} and _{
}. If given the line _{
}, solving for y, would result in _{
} and find that _{
} and _{
}. Since the slopes are the same, these lines are
parallel.Compare these lines to the line -6x -4y = 16 . Solving for y, would result in _{
} and find that _{
} and _{
}. This line would be perpendicular to the other
lines since the product of their slopes equals negative 1 … _{
}.The views and
opinions expressed in this page are strictly those of Mary Lou Baker. This page was edited on 13-Sep-2011 |