Answer
perpendicular
Work Step by Step
$2x+7y=6$
$2x+7y-2x=6-2x$
$7y\div7=(-2x+6)\div7$
$y=-\underset\uparrow{\frac{2}{7}}x+\frac{6}{7}$
$\ \ \ \ \ \ \ \ $slope
$14x-4y=18$
$14x-4y-14x=18-14x$
$-4y\div-4=(-14x+18)\div-4$
$y=\frac{-14}{-4}x+\frac{18}{-4}$
$y=\underset\uparrow{\frac{7}{2}}x-\frac{9}{2}$
$\ \ \ \ \ \ \ \ $slope
The slopes are negative inverse so the lines are perpendicular.
