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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 = x + 5 ← in slope- intercept form
with slope m =
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
× - 6 = - 1
Hence the lines are perpendicular → b