Answer
The two lines have different slopes that are not negative reciprocals of each other so the lines are neither parallel nor perpendicular.
Work Step by Step
RECALL:
$\\\\$(i) The slope-intercept form of a linear equation is y=mx+b where m = slope and b = y-intercept.
$\\\\$(ii) Parallel lines have equal or the same slopes.
$\\\\$(iii) Perpendicular lines have slopes whose product is negative (negative reciprocals of each other).
$\\\\\\$Write each of the given equations in slope-intercept form to have:
$\\\\-x+3y=2 \longrightarrow y=\frac{1}{3}x+\frac{2}{3}
\\\\2x+6y=5 \longrightarrow y=\frac{-1}{3}x+\frac{5}{6}$
$\\\\\\$The two equations have different slopes that are not negative reciprocals of each other so the lines are neither parallel nor perpendicular.
