Answer:
b
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange both equations into this form
x - 6y = - 30 (subtract x from both sides )
- 6y = - x - 30 ( divide all terms by - 6 )
y = [tex]\frac{1}{6}[/tex] x + 5 ← in slope- intercept form
with slope m = [tex]\frac{1}{6}[/tex]
y = - 6x + 5 ← in slope- intercept form
with slope m = - 6
Parallel lines have equal slopes.
Clearly the lines are not parallel.
The product of the slope of perpendicular lines equals - 1, thus
[tex]\frac{1}{6}[/tex] × - 6 = - 1
Hence the lines are perpendicular → b
